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Finding the Fourth Proportional to 109,206.60, 163,817.34 and 37,130.16

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Solution

The fourth proportional to 109,206.60, 163,817.34 and 37,130.16 is: 55,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.60 : 163,817.34 = 37,130.16 : x
  2. Step 2: Convert to fraction form
    109,206.60/163,817.34 = 37,130.16/x
  3. Step 3: Cross multiply
    109,206.60x = 163,817.34 × 37,130.16
  4. Step 4: Simplify right side
    109,206.60x = 6,082,564,044.97
  5. Step 5: Solve for x
    x = 6,082,564,044.97/109,206.60
  6. Step 6: Final answer
    x = 55,697.77

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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.