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Finding the Fourth Proportional to 154,911.42, 232,318.53 and 49,707

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Solution

The fourth proportional to 154,911.42, 232,318.53 and 49,707 is: 74,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,911.42 : 232,318.53 = 49,707 : x
  2. Step 2: Convert to fraction form
    154,911.42/232,318.53 = 49,707/x
  3. Step 3: Cross multiply
    154,911.42x = 232,318.53 × 49,707
  4. Step 4: Simplify right side
    154,911.42x = 11,547,857,170.71
  5. Step 5: Solve for x
    x = 11,547,857,170.71/154,911.42
  6. Step 6: Final answer
    x = 74,544.91

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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.