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Finding the Fourth Proportional to 145,742.33, 201,174.75 and 85,332.38

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Solution

The fourth proportional to 145,742.33, 201,174.75 and 85,332.38 is: 117,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,742.33 : 201,174.75 = 85,332.38 : x
  2. Step 2: Convert to fraction form
    145,742.33/201,174.75 = 85,332.38/x
  3. Step 3: Cross multiply
    145,742.33x = 201,174.75 × 85,332.38
  4. Step 4: Simplify right side
    145,742.33x = 17,166,719,207.53
  5. Step 5: Solve for x
    x = 17,166,719,207.53/145,742.33
  6. Step 6: Final answer
    x = 117,788.15

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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.