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Finding the Fourth Proportional to 213,444.66, 320,259.87 and 101,203.50

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Solution

The fourth proportional to 213,444.66, 320,259.87 and 101,203.50 is: 151,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,444.66 : 320,259.87 = 101,203.50 : x
  2. Step 2: Convert to fraction form
    213,444.66/320,259.87 = 101,203.50/x
  3. Step 3: Cross multiply
    213,444.66x = 320,259.87 × 101,203.50
  4. Step 4: Simplify right side
    213,444.66x = 32,411,419,753.55
  5. Step 5: Solve for x
    x = 32,411,419,753.55/213,444.66
  6. Step 6: Final answer
    x = 151,849.29

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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.