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Finding the Fourth Proportional to 138,686.19, 191,386.85 and 75,024.05

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Solution

The fourth proportional to 138,686.19, 191,386.85 and 75,024.05 is: 103,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,686.19 : 191,386.85 = 75,024.05 : x
  2. Step 2: Convert to fraction form
    138,686.19/191,386.85 = 75,024.05/x
  3. Step 3: Cross multiply
    138,686.19x = 191,386.85 × 75,024.05
  4. Step 4: Simplify right side
    138,686.19x = 14,358,615,271.69
  5. Step 5: Solve for x
    x = 14,358,615,271.69/138,686.19
  6. Step 6: Final answer
    x = 103,533.13

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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.