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Finding the Fourth Proportional to 491,053.47, 736,578.18 and 136,066.47

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Solution

The fourth proportional to 491,053.47, 736,578.18 and 136,066.47 is: 204,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,053.47 : 736,578.18 = 136,066.47 : x
  2. Step 2: Convert to fraction form
    491,053.47/736,578.18 = 136,066.47/x
  3. Step 3: Cross multiply
    491,053.47x = 736,578.18 × 136,066.47
  4. Step 4: Simplify right side
    491,053.47x = 100,223,592,831.63
  5. Step 5: Solve for x
    x = 100,223,592,831.63/491,053.47
  6. Step 6: Final answer
    x = 204,099.14

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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.