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Finding the Fourth Proportional to 265,203.60, 365,975.85 and 144,347.55

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Solution

The fourth proportional to 265,203.60, 365,975.85 and 144,347.55 is: 199,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,203.60 : 365,975.85 = 144,347.55 : x
  2. Step 2: Convert to fraction form
    265,203.60/365,975.85 = 144,347.55/x
  3. Step 3: Cross multiply
    265,203.60x = 365,975.85 × 144,347.55
  4. Step 4: Simplify right side
    265,203.60x = 52,827,717,306.67
  5. Step 5: Solve for x
    x = 52,827,717,306.67/265,203.60
  6. Step 6: Final answer
    x = 199,196.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.