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Finding the Fourth Proportional to 152,052.48, 209,813.76 and 88,404.48

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Solution

The fourth proportional to 152,052.48, 209,813.76 and 88,404.48 is: 121,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,052.48 : 209,813.76 = 88,404.48 : x
  2. Step 2: Convert to fraction form
    152,052.48/209,813.76 = 88,404.48/x
  3. Step 3: Cross multiply
    152,052.48x = 209,813.76 × 88,404.48
  4. Step 4: Simplify right side
    152,052.48x = 18,548,476,349.64
  5. Step 5: Solve for x
    x = 18,548,476,349.64/152,052.48
  6. Step 6: Final answer
    x = 121,987.33

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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.