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Finding the Fourth Proportional to 537,897.90, 806,934.36 and 158,856.96

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Solution

The fourth proportional to 537,897.90, 806,934.36 and 158,856.96 is: 238,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,897.90 : 806,934.36 = 158,856.96 : x
  2. Step 2: Convert to fraction form
    537,897.90/806,934.36 = 158,856.96/x
  3. Step 3: Cross multiply
    537,897.90x = 806,934.36 × 158,856.96
  4. Step 4: Simplify right side
    537,897.90x = 128,187,139,349.15
  5. Step 5: Solve for x
    x = 128,187,139,349.15/537,897.90
  6. Step 6: Final answer
    x = 238,311.28

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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.