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Finding the Fourth Proportional to 229,993.61, 344,966.10 and 61,530.93

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Solution

The fourth proportional to 229,993.61, 344,966.10 and 61,530.93 is: 92,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,993.61 : 344,966.10 = 61,530.93 : x
  2. Step 2: Convert to fraction form
    229,993.61/344,966.10 = 61,530.93/x
  3. Step 3: Cross multiply
    229,993.61x = 344,966.10 × 61,530.93
  4. Step 4: Simplify right side
    229,993.61x = 21,226,084,951.47
  5. Step 5: Solve for x
    x = 21,226,084,951.47/229,993.61
  6. Step 6: Final answer
    x = 92,289.89

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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.