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Finding the Fourth Proportional to 130,925.74, 180,678.79 and 74,338.38

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Solution

The fourth proportional to 130,925.74, 180,678.79 and 74,338.38 is: 102,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,925.74 : 180,678.79 = 74,338.38 : x
  2. Step 2: Convert to fraction form
    130,925.74/180,678.79 = 74,338.38/x
  3. Step 3: Cross multiply
    130,925.74x = 180,678.79 × 74,338.38
  4. Step 4: Simplify right side
    130,925.74x = 13,431,368,548.96
  5. Step 5: Solve for x
    x = 13,431,368,548.96/130,925.74
  6. Step 6: Final answer
    x = 102,587.68

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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.