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Finding the Fourth Proportional to 130,513, 180,092.66 and 76,786.20

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Solution

The fourth proportional to 130,513, 180,092.66 and 76,786.20 is: 105,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,513 : 180,092.66 = 76,786.20 : x
  2. Step 2: Convert to fraction form
    130,513/180,092.66 = 76,786.20/x
  3. Step 3: Cross multiply
    130,513x = 180,092.66 × 76,786.20
  4. Step 4: Simplify right side
    130,513x = 13,828,631,009.29
  5. Step 5: Solve for x
    x = 13,828,631,009.29/130,513
  6. Step 6: Final answer
    x = 105,955.97

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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.