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Finding the Fourth Proportional to 103,311.68, 154,831.36 and 40,948.16

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Solution

The fourth proportional to 103,311.68, 154,831.36 and 40,948.16 is: 61,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311.68 : 154,831.36 = 40,948.16 : x
  2. Step 2: Convert to fraction form
    103,311.68/154,831.36 = 40,948.16/x
  3. Step 3: Cross multiply
    103,311.68x = 154,831.36 × 40,948.16
  4. Step 4: Simplify right side
    103,311.68x = 6,340,059,302.30
  5. Step 5: Solve for x
    x = 6,340,059,302.30/103,311.68
  6. Step 6: Final answer
    x = 61,368.27

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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.