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Finding the Fourth Proportional to 195,655.80, 293,702.40 and 151,478.40

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Solution

The fourth proportional to 195,655.80, 293,702.40 and 151,478.40 is: 227,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,655.80 : 293,702.40 = 151,478.40 : x
  2. Step 2: Convert to fraction form
    195,655.80/293,702.40 = 151,478.40/x
  3. Step 3: Cross multiply
    195,655.80x = 293,702.40 × 151,478.40
  4. Step 4: Simplify right side
    195,655.80x = 44,489,569,628.16
  5. Step 5: Solve for x
    x = 44,489,569,628.16/195,655.80
  6. Step 6: Final answer
    x = 227,386.92

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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.