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Finding the Fourth Proportional to 207,035, 285,925.14 and 142,671.62

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Solution

The fourth proportional to 207,035, 285,925.14 and 142,671.62 is: 197,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,035 : 285,925.14 = 142,671.62 : x
  2. Step 2: Convert to fraction form
    207,035/285,925.14 = 142,671.62/x
  3. Step 3: Cross multiply
    207,035x = 285,925.14 × 142,671.62
  4. Step 4: Simplify right side
    207,035x = 40,793,402,922.53
  5. Step 5: Solve for x
    x = 40,793,402,922.53/207,035
  6. Step 6: Final answer
    x = 197,036.26

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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.