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Finding the Fourth Proportional to 265,477.95, 398,275.21 and 195,144.03

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Solution

The fourth proportional to 265,477.95, 398,275.21 and 195,144.03 is: 292,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,477.95 : 398,275.21 = 195,144.03 : x
  2. Step 2: Convert to fraction form
    265,477.95/398,275.21 = 195,144.03/x
  3. Step 3: Cross multiply
    265,477.95x = 398,275.21 × 195,144.03
  4. Step 4: Simplify right side
    265,477.95x = 77,721,029,528.50
  5. Step 5: Solve for x
    x = 77,721,029,528.50/265,477.95
  6. Step 6: Final answer
    x = 292,758.89

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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.