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Finding the Fourth Proportional to 292,014.88, 402,981.14 and 157,878.88

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Solution

The fourth proportional to 292,014.88, 402,981.14 and 157,878.88 is: 217,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,014.88 : 402,981.14 = 157,878.88 : x
  2. Step 2: Convert to fraction form
    292,014.88/402,981.14 = 157,878.88/x
  3. Step 3: Cross multiply
    292,014.88x = 402,981.14 × 157,878.88
  4. Step 4: Simplify right side
    292,014.88x = 63,622,211,044.32
  5. Step 5: Solve for x
    x = 63,622,211,044.32/292,014.88
  6. Step 6: Final answer
    x = 217,873.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.