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Finding the Fourth Proportional to 284,897.52, 427,156.45 and 156,874.11

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Solution

The fourth proportional to 284,897.52, 427,156.45 and 156,874.11 is: 235,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,897.52 : 427,156.45 = 156,874.11 : x
  2. Step 2: Convert to fraction form
    284,897.52/427,156.45 = 156,874.11/x
  3. Step 3: Cross multiply
    284,897.52x = 427,156.45 × 156,874.11
  4. Step 4: Simplify right side
    284,897.52x = 67,009,787,924.51
  5. Step 5: Solve for x
    x = 67,009,787,924.51/284,897.52
  6. Step 6: Final answer
    x = 235,206.64

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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.