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Finding the Fourth Proportional to 145,032.59, 200,141.85 and 80,498.05

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Solution

The fourth proportional to 145,032.59, 200,141.85 and 80,498.05 is: 111,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,032.59 : 200,141.85 = 80,498.05 : x
  2. Step 2: Convert to fraction form
    145,032.59/200,141.85 = 80,498.05/x
  3. Step 3: Cross multiply
    145,032.59x = 200,141.85 × 80,498.05
  4. Step 4: Simplify right side
    145,032.59x = 16,111,028,148.04
  5. Step 5: Solve for x
    x = 16,111,028,148.04/145,032.59
  6. Step 6: Final answer
    x = 111,085.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.