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Finding the Fourth Proportional to 130,663.68, 180,312.64 and 76,226.28

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Solution

The fourth proportional to 130,663.68, 180,312.64 and 76,226.28 is: 105,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,663.68 : 180,312.64 = 76,226.28 : x
  2. Step 2: Convert to fraction form
    130,663.68/180,312.64 = 76,226.28/x
  3. Step 3: Cross multiply
    130,663.68x = 180,312.64 × 76,226.28
  4. Step 4: Simplify right side
    130,663.68x = 13,744,561,784.18
  5. Step 5: Solve for x
    x = 13,744,561,784.18/130,663.68
  6. Step 6: Final answer
    x = 105,190.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.