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Finding the Fourth Proportional to 156,970.15, 216,612.88 and 85,347.70

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Solution

The fourth proportional to 156,970.15, 216,612.88 and 85,347.70 is: 117,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.15 : 216,612.88 = 85,347.70 : x
  2. Step 2: Convert to fraction form
    156,970.15/216,612.88 = 85,347.70/x
  3. Step 3: Cross multiply
    156,970.15x = 216,612.88 × 85,347.70
  4. Step 4: Simplify right side
    156,970.15x = 18,487,411,098.38
  5. Step 5: Solve for x
    x = 18,487,411,098.38/156,970.15
  6. Step 6: Final answer
    x = 117,776.60

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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.