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Finding the Fourth Proportional to 130,474.65, 180,038.19 and 76,740.06

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Solution

The fourth proportional to 130,474.65, 180,038.19 and 76,740.06 is: 105,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,474.65 : 180,038.19 = 76,740.06 : x
  2. Step 2: Convert to fraction form
    130,474.65/180,038.19 = 76,740.06/x
  3. Step 3: Cross multiply
    130,474.65x = 180,038.19 × 76,740.06
  4. Step 4: Simplify right side
    130,474.65x = 13,816,141,502.89
  5. Step 5: Solve for x
    x = 13,816,141,502.89/130,474.65
  6. Step 6: Final answer
    x = 105,891.39

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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.