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Finding the Fourth Proportional to 105,139.68, 145,144.80 and 64,875.63

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Solution

The fourth proportional to 105,139.68, 145,144.80 and 64,875.63 is: 89,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,139.68 : 145,144.80 = 64,875.63 : x
  2. Step 2: Convert to fraction form
    105,139.68/145,144.80 = 64,875.63/x
  3. Step 3: Cross multiply
    105,139.68x = 145,144.80 × 64,875.63
  4. Step 4: Simplify right side
    105,139.68x = 9,416,360,341.22
  5. Step 5: Solve for x
    x = 9,416,360,341.22/105,139.68
  6. Step 6: Final answer
    x = 89,560.48

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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.