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Finding the Fourth Proportional to 130,526.64, 180,126.72 and 76,811.76

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Solution

The fourth proportional to 130,526.64, 180,126.72 and 76,811.76 is: 106,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,526.64 : 180,126.72 = 76,811.76 : x
  2. Step 2: Convert to fraction form
    130,526.64/180,126.72 = 76,811.76/x
  3. Step 3: Cross multiply
    130,526.64x = 180,126.72 × 76,811.76
  4. Step 4: Simplify right side
    130,526.64x = 13,835,850,386.23
  5. Step 5: Solve for x
    x = 13,835,850,386.23/130,526.64
  6. Step 6: Final answer
    x = 106,000.20

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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.