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Finding the Fourth Proportional to 145,064, 217,929.54 and 103,046.24

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Solution

The fourth proportional to 145,064, 217,929.54 and 103,046.24 is: 154,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064 : 217,929.54 = 103,046.24 : x
  2. Step 2: Convert to fraction form
    145,064/217,929.54 = 103,046.24/x
  3. Step 3: Cross multiply
    145,064x = 217,929.54 × 103,046.24
  4. Step 4: Simplify right side
    145,064x = 22,456,819,681.93
  5. Step 5: Solve for x
    x = 22,456,819,681.93/145,064
  6. Step 6: Final answer
    x = 154,806.29

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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.