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Finding the Fourth Proportional to 96,654.40, 144,904.80 and 52,878.40

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Solution

The fourth proportional to 96,654.40, 144,904.80 and 52,878.40 is: 79,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,654.40 : 144,904.80 = 52,878.40 : x
  2. Step 2: Convert to fraction form
    96,654.40/144,904.80 = 52,878.40/x
  3. Step 3: Cross multiply
    96,654.40x = 144,904.80 × 52,878.40
  4. Step 4: Simplify right side
    96,654.40x = 7,662,333,976.32
  5. Step 5: Solve for x
    x = 7,662,333,976.32/96,654.40
  6. Step 6: Final answer
    x = 79,275.58

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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.