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Finding the Fourth Proportional to 231,377.40, 347,066.10 and 106,718.40

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Solution

The fourth proportional to 231,377.40, 347,066.10 and 106,718.40 is: 160,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,377.40 : 347,066.10 = 106,718.40 : x
  2. Step 2: Convert to fraction form
    231,377.40/347,066.10 = 106,718.40/x
  3. Step 3: Cross multiply
    231,377.40x = 347,066.10 × 106,718.40
  4. Step 4: Simplify right side
    231,377.40x = 37,038,338,886.24
  5. Step 5: Solve for x
    x = 37,038,338,886.24/231,377.40
  6. Step 6: Final answer
    x = 160,077.60

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1.5x scale

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.