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Finding the Fourth Proportional to 124,159.50, 186,294.06 and 41,053.50

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Solution

The fourth proportional to 124,159.50, 186,294.06 and 41,053.50 is: 61,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,159.50 : 186,294.06 = 41,053.50 : x
  2. Step 2: Convert to fraction form
    124,159.50/186,294.06 = 41,053.50/x
  3. Step 3: Cross multiply
    124,159.50x = 186,294.06 × 41,053.50
  4. Step 4: Simplify right side
    124,159.50x = 7,648,023,192.21
  5. Step 5: Solve for x
    x = 7,648,023,192.21/124,159.50
  6. Step 6: Final answer
    x = 61,598.37

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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.