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Finding the Fourth Proportional to 183,951.54, 253,854.02 and 107,475

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Solution

The fourth proportional to 183,951.54, 253,854.02 and 107,475 is: 148,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,951.54 : 253,854.02 = 107,475 : x
  2. Step 2: Convert to fraction form
    183,951.54/253,854.02 = 107,475/x
  3. Step 3: Cross multiply
    183,951.54x = 253,854.02 × 107,475
  4. Step 4: Simplify right side
    183,951.54x = 27,282,960,262.13
  5. Step 5: Solve for x
    x = 27,282,960,262.13/183,951.54
  6. Step 6: Final answer
    x = 148,316.02

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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.