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Finding the Fourth Proportional to 229,897.28, 344,707.52 and 87,752

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Solution

The fourth proportional to 229,897.28, 344,707.52 and 87,752 is: 131,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,897.28 : 344,707.52 = 87,752 : x
  2. Step 2: Convert to fraction form
    229,897.28/344,707.52 = 87,752/x
  3. Step 3: Cross multiply
    229,897.28x = 344,707.52 × 87,752
  4. Step 4: Simplify right side
    229,897.28x = 30,248,774,295.04
  5. Step 5: Solve for x
    x = 30,248,774,295.04/229,897.28
  6. Step 6: Final answer
    x = 131,575.17

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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.