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Finding the Fourth Proportional to 152,657.46, 228,594.51 and 99,913.14

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Solution

The fourth proportional to 152,657.46, 228,594.51 and 99,913.14 is: 149,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,657.46 : 228,594.51 = 99,913.14 : x
  2. Step 2: Convert to fraction form
    152,657.46/228,594.51 = 99,913.14/x
  3. Step 3: Cross multiply
    152,657.46x = 228,594.51 × 99,913.14
  4. Step 4: Simplify right side
    152,657.46x = 22,839,595,280.86
  5. Step 5: Solve for x
    x = 22,839,595,280.86/152,657.46
  6. Step 6: Final answer
    x = 149,613.36

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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.