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Finding the Fourth Proportional to 147,058.62, 202,950.90 and 83,400.52

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Solution

The fourth proportional to 147,058.62, 202,950.90 and 83,400.52 is: 115,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,058.62 : 202,950.90 = 83,400.52 : x
  2. Step 2: Convert to fraction form
    147,058.62/202,950.90 = 83,400.52/x
  3. Step 3: Cross multiply
    147,058.62x = 202,950.90 × 83,400.52
  4. Step 4: Simplify right side
    147,058.62x = 16,926,210,594.47
  5. Step 5: Solve for x
    x = 16,926,210,594.47/147,058.62
  6. Step 6: Final answer
    x = 115,098.39

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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.