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Finding the Fourth Proportional to 109,509.40, 164,225.70 and 56,901.40

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Solution

The fourth proportional to 109,509.40, 164,225.70 and 56,901.40 is: 85,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.40 : 164,225.70 = 56,901.40 : x
  2. Step 2: Convert to fraction form
    109,509.40/164,225.70 = 56,901.40/x
  3. Step 3: Cross multiply
    109,509.40x = 164,225.70 × 56,901.40
  4. Step 4: Simplify right side
    109,509.40x = 9,344,672,245.98
  5. Step 5: Solve for x
    x = 9,344,672,245.98/109,509.40
  6. Step 6: Final answer
    x = 85,332.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.