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Finding the Fourth Proportional to 243,206.90, 364,810.35 and 138,230.90

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Solution

The fourth proportional to 243,206.90, 364,810.35 and 138,230.90 is: 207,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,206.90 : 364,810.35 = 138,230.90 : x
  2. Step 2: Convert to fraction form
    243,206.90/364,810.35 = 138,230.90/x
  3. Step 3: Cross multiply
    243,206.90x = 364,810.35 × 138,230.90
  4. Step 4: Simplify right side
    243,206.90x = 50,428,063,009.82
  5. Step 5: Solve for x
    x = 50,428,063,009.82/243,206.90
  6. Step 6: Final answer
    x = 207,346.35

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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.