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Finding the Fourth Proportional to 118,066.40, 176,840.40 and 102,514.40

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Solution

The fourth proportional to 118,066.40, 176,840.40 and 102,514.40 is: 153,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,066.40 : 176,840.40 = 102,514.40 : x
  2. Step 2: Convert to fraction form
    118,066.40/176,840.40 = 102,514.40/x
  3. Step 3: Cross multiply
    118,066.40x = 176,840.40 × 102,514.40
  4. Step 4: Simplify right side
    118,066.40x = 18,128,687,501.76
  5. Step 5: Solve for x
    x = 18,128,687,501.76/118,066.40
  6. Step 6: Final answer
    x = 153,546.54

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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.