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Finding the Fourth Proportional to 105,189.08, 145,166.37 and 64,340.40

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Solution

The fourth proportional to 105,189.08, 145,166.37 and 64,340.40 is: 88,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,189.08 : 145,166.37 = 64,340.40 : x
  2. Step 2: Convert to fraction form
    105,189.08/145,166.37 = 64,340.40/x
  3. Step 3: Cross multiply
    105,189.08x = 145,166.37 × 64,340.40
  4. Step 4: Simplify right side
    105,189.08x = 9,340,062,312.35
  5. Step 5: Solve for x
    x = 9,340,062,312.35/105,189.08
  6. Step 6: Final answer
    x = 88,793.08

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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.