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Finding the Fourth Proportional to 152,098.40, 228,212.40 and 95,981.60

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Solution

The fourth proportional to 152,098.40, 228,212.40 and 95,981.60 is: 144,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.40 : 228,212.40 = 95,981.60 : x
  2. Step 2: Convert to fraction form
    152,098.40/228,212.40 = 95,981.60/x
  3. Step 3: Cross multiply
    152,098.40x = 228,212.40 × 95,981.60
  4. Step 4: Simplify right side
    152,098.40x = 21,904,191,291.84
  5. Step 5: Solve for x
    x = 21,904,191,291.84/152,098.40
  6. Step 6: Final answer
    x = 144,013.29

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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.