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Finding the Fourth Proportional to 292,022.16, 402,991.16 and 157,886.16

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Solution

The fourth proportional to 292,022.16, 402,991.16 and 157,886.16 is: 217,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.16 : 402,991.16 = 157,886.16 : x
  2. Step 2: Convert to fraction form
    292,022.16/402,991.16 = 157,886.16/x
  3. Step 3: Cross multiply
    292,022.16x = 402,991.16 × 157,886.16
  4. Step 4: Simplify right side
    292,022.16x = 63,626,726,766.35
  5. Step 5: Solve for x
    x = 63,626,726,766.35/292,022.16
  6. Step 6: Final answer
    x = 217,883.21

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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.