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Finding the Fourth Proportional to 156,957.71, 235,584.53 and 57,214.31

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Solution

The fourth proportional to 156,957.71, 235,584.53 and 57,214.31 is: 85,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957.71 : 235,584.53 = 57,214.31 : x
  2. Step 2: Convert to fraction form
    156,957.71/235,584.53 = 57,214.31/x
  3. Step 3: Cross multiply
    156,957.71x = 235,584.53 × 57,214.31
  4. Step 4: Simplify right side
    156,957.71x = 13,478,806,044.55
  5. Step 5: Solve for x
    x = 13,478,806,044.55/156,957.71
  6. Step 6: Final answer
    x = 85,875.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.