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Finding the Fourth Proportional to 162,567.38, 224,378.10 and 98,925.68

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Solution

The fourth proportional to 162,567.38, 224,378.10 and 98,925.68 is: 136,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,567.38 : 224,378.10 = 98,925.68 : x
  2. Step 2: Convert to fraction form
    162,567.38/224,378.10 = 98,925.68/x
  3. Step 3: Cross multiply
    162,567.38x = 224,378.10 × 98,925.68
  4. Step 4: Simplify right side
    162,567.38x = 22,196,756,119.61
  5. Step 5: Solve for x
    x = 22,196,756,119.61/162,567.38
  6. Step 6: Final answer
    x = 136,538.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.