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Finding the Fourth Proportional to 145,962.38, 201,430.32 and 85,518.56

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Solution

The fourth proportional to 145,962.38, 201,430.32 and 85,518.56 is: 118,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962.38 : 201,430.32 = 85,518.56 : x
  2. Step 2: Convert to fraction form
    145,962.38/201,430.32 = 85,518.56/x
  3. Step 3: Cross multiply
    145,962.38x = 201,430.32 × 85,518.56
  4. Step 4: Simplify right side
    145,962.38x = 17,226,030,906.74
  5. Step 5: Solve for x
    x = 17,226,030,906.74/145,962.38
  6. Step 6: Final answer
    x = 118,016.92

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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.