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Finding the Fourth Proportional to 233,046.60, 348,695.10 and 154,314.60

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Solution

The fourth proportional to 233,046.60, 348,695.10 and 154,314.60 is: 230,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,046.60 : 348,695.10 = 154,314.60 : x
  2. Step 2: Convert to fraction form
    233,046.60/348,695.10 = 154,314.60/x
  3. Step 3: Cross multiply
    233,046.60x = 348,695.10 × 154,314.60
  4. Step 4: Simplify right side
    233,046.60x = 53,808,744,878.46
  5. Step 5: Solve for x
    x = 53,808,744,878.46/233,046.60
  6. Step 6: Final answer
    x = 230,892.64

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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.