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Finding the Fourth Proportional to 144,650.64, 199,574.71 and 93,582.48

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Solution

The fourth proportional to 144,650.64, 199,574.71 and 93,582.48 is: 129,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,650.64 : 199,574.71 = 93,582.48 : x
  2. Step 2: Convert to fraction form
    144,650.64/199,574.71 = 93,582.48/x
  3. Step 3: Cross multiply
    144,650.64x = 199,574.71 × 93,582.48
  4. Step 4: Simplify right side
    144,650.64x = 18,676,696,073.12
  5. Step 5: Solve for x
    x = 18,676,696,073.12/144,650.64
  6. Step 6: Final answer
    x = 129,115.89

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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.