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Finding the Fourth Proportional to 130,433.60, 180,041.12 and 76,715.84

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Solution

The fourth proportional to 130,433.60, 180,041.12 and 76,715.84 is: 105,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,433.60 : 180,041.12 = 76,715.84 : x
  2. Step 2: Convert to fraction form
    130,433.60/180,041.12 = 76,715.84/x
  3. Step 3: Cross multiply
    130,433.60x = 180,041.12 × 76,715.84
  4. Step 4: Simplify right side
    130,433.60x = 13,812,005,755.34
  5. Step 5: Solve for x
    x = 13,812,005,755.34/130,433.60
  6. Step 6: Final answer
    x = 105,893.00

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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.