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Finding the Fourth Proportional to 292,016.58, 402,982.84 and 157,880.58

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Solution

The fourth proportional to 292,016.58, 402,982.84 and 157,880.58 is: 217,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,016.58 : 402,982.84 = 157,880.58 : x
  2. Step 2: Convert to fraction form
    292,016.58/402,982.84 = 157,880.58/x
  3. Step 3: Cross multiply
    292,016.58x = 402,982.84 × 157,880.58
  4. Step 4: Simplify right side
    292,016.58x = 63,623,164,509.25
  5. Step 5: Solve for x
    x = 63,623,164,509.25/292,016.58
  6. Step 6: Final answer
    x = 217,875.18

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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.