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Finding the Fourth Proportional to 102,545.60, 153,765.05 and 46,358.82

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Solution

The fourth proportional to 102,545.60, 153,765.05 and 46,358.82 is: 69,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,545.60 : 153,765.05 = 46,358.82 : x
  2. Step 2: Convert to fraction form
    102,545.60/153,765.05 = 46,358.82/x
  3. Step 3: Cross multiply
    102,545.60x = 153,765.05 × 46,358.82
  4. Step 4: Simplify right side
    102,545.60x = 7,128,366,043.45
  5. Step 5: Solve for x
    x = 7,128,366,043.45/102,545.60
  6. Step 6: Final answer
    x = 69,514.11

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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.