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Finding the Fourth Proportional to 106,643.35, 147,174.84 and 58,897.48

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Solution

The fourth proportional to 106,643.35, 147,174.84 and 58,897.48 is: 81,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,643.35 : 147,174.84 = 58,897.48 : x
  2. Step 2: Convert to fraction form
    106,643.35/147,174.84 = 58,897.48/x
  3. Step 3: Cross multiply
    106,643.35x = 147,174.84 × 58,897.48
  4. Step 4: Simplify right side
    106,643.35x = 8,668,227,195.40
  5. Step 5: Solve for x
    x = 8,668,227,195.40/106,643.35
  6. Step 6: Final answer
    x = 81,282.40

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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.