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Finding the Fourth Proportional to 454,564.66, 681,737.64 and 139,024.30

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Solution

The fourth proportional to 454,564.66, 681,737.64 and 139,024.30 is: 208,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,564.66 : 681,737.64 = 139,024.30 : x
  2. Step 2: Convert to fraction form
    454,564.66/681,737.64 = 139,024.30/x
  3. Step 3: Cross multiply
    454,564.66x = 681,737.64 × 139,024.30
  4. Step 4: Simplify right side
    454,564.66x = 94,778,098,184.65
  5. Step 5: Solve for x
    x = 94,778,098,184.65/454,564.66
  6. Step 6: Final answer
    x = 208,503.01

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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.