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Finding the Fourth Proportional to 233,874.60, 350,848.65 and 76,066.16

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Solution

The fourth proportional to 233,874.60, 350,848.65 and 76,066.16 is: 114,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874.60 : 350,848.65 = 76,066.16 : x
  2. Step 2: Convert to fraction form
    233,874.60/350,848.65 = 76,066.16/x
  3. Step 3: Cross multiply
    233,874.60x = 350,848.65 × 76,066.16
  4. Step 4: Simplify right side
    233,874.60x = 26,687,707,792.44
  5. Step 5: Solve for x
    x = 26,687,707,792.44/233,874.60
  6. Step 6: Final answer
    x = 114,111.19

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Why These Related Problems?

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