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Finding the Fourth Proportional to 130,547.70, 180,141.57 and 76,849.56

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Solution

The fourth proportional to 130,547.70, 180,141.57 and 76,849.56 is: 106,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,547.70 : 180,141.57 = 76,849.56 : x
  2. Step 2: Convert to fraction form
    130,547.70/180,141.57 = 76,849.56/x
  3. Step 3: Cross multiply
    130,547.70x = 180,141.57 × 76,849.56
  4. Step 4: Simplify right side
    130,547.70x = 13,843,800,392.21
  5. Step 5: Solve for x
    x = 13,843,800,392.21/130,547.70
  6. Step 6: Final answer
    x = 106,044.00

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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.