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Finding the Fourth Proportional to 102,230.32, 153,411.10 and 49,611.10

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Solution

The fourth proportional to 102,230.32, 153,411.10 and 49,611.10 is: 74,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,230.32 : 153,411.10 = 49,611.10 : x
  2. Step 2: Convert to fraction form
    102,230.32/153,411.10 = 49,611.10/x
  3. Step 3: Cross multiply
    102,230.32x = 153,411.10 × 49,611.10
  4. Step 4: Simplify right side
    102,230.32x = 7,610,893,423.21
  5. Step 5: Solve for x
    x = 7,610,893,423.21/102,230.32
  6. Step 6: Final answer
    x = 74,448.49

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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.