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Finding the Fourth Proportional to 140,897.68, 211,312.96 and 56,658.04

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Solution

The fourth proportional to 140,897.68, 211,312.96 and 56,658.04 is: 84,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,897.68 : 211,312.96 = 56,658.04 : x
  2. Step 2: Convert to fraction form
    140,897.68/211,312.96 = 56,658.04/x
  3. Step 3: Cross multiply
    140,897.68x = 211,312.96 × 56,658.04
  4. Step 4: Simplify right side
    140,897.68x = 11,972,578,140.20
  5. Step 5: Solve for x
    x = 11,972,578,140.20/140,897.68
  6. Step 6: Final answer
    x = 84,973.56

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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.