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Finding the Fourth Proportional to 152,262, 228,414.78 and 47,089.08

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Solution

The fourth proportional to 152,262, 228,414.78 and 47,089.08 is: 70,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 228,414.78 = 47,089.08 : x
  2. Step 2: Convert to fraction form
    152,262/228,414.78 = 47,089.08/x
  3. Step 3: Cross multiply
    152,262x = 228,414.78 × 47,089.08
  4. Step 4: Simplify right side
    152,262x = 10,755,841,848.60
  5. Step 5: Solve for x
    x = 10,755,841,848.60/152,262
  6. Step 6: Final answer
    x = 70,640.36

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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.