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Finding the Fourth Proportional to 145,259.12, 200,477.76 and 81,601.76

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Solution

The fourth proportional to 145,259.12, 200,477.76 and 81,601.76 is: 112,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,259.12 : 200,477.76 = 81,601.76 : x
  2. Step 2: Convert to fraction form
    145,259.12/200,477.76 = 81,601.76/x
  3. Step 3: Cross multiply
    145,259.12x = 200,477.76 × 81,601.76
  4. Step 4: Simplify right side
    145,259.12x = 16,359,338,056.86
  5. Step 5: Solve for x
    x = 16,359,338,056.86/145,259.12
  6. Step 6: Final answer
    x = 112,621.76

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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.