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Finding the Fourth Proportional to 288,124.92, 432,154.98 and 110,507.32

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Solution

The fourth proportional to 288,124.92, 432,154.98 and 110,507.32 is: 165,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,124.92 : 432,154.98 = 110,507.32 : x
  2. Step 2: Convert to fraction form
    288,124.92/432,154.98 = 110,507.32/x
  3. Step 3: Cross multiply
    288,124.92x = 432,154.98 × 110,507.32
  4. Step 4: Simplify right side
    288,124.92x = 47,756,288,664.45
  5. Step 5: Solve for x
    x = 47,756,288,664.45/288,124.92
  6. Step 6: Final answer
    x = 165,748.55

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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.