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Finding the Fourth Proportional to 130,780.74, 180,474.84 and 73,421.40

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Solution

The fourth proportional to 130,780.74, 180,474.84 and 73,421.40 is: 101,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,780.74 : 180,474.84 = 73,421.40 : x
  2. Step 2: Convert to fraction form
    130,780.74/180,474.84 = 73,421.40/x
  3. Step 3: Cross multiply
    130,780.74x = 180,474.84 × 73,421.40
  4. Step 4: Simplify right side
    130,780.74x = 13,250,715,417.58
  5. Step 5: Solve for x
    x = 13,250,715,417.58/130,780.74
  6. Step 6: Final answer
    x = 101,320.08

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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.