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Finding the Fourth Proportional to 243,085.68, 364,502.16 and 109,902.24

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Solution

The fourth proportional to 243,085.68, 364,502.16 and 109,902.24 is: 164,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,085.68 : 364,502.16 = 109,902.24 : x
  2. Step 2: Convert to fraction form
    243,085.68/364,502.16 = 109,902.24/x
  3. Step 3: Cross multiply
    243,085.68x = 364,502.16 × 109,902.24
  4. Step 4: Simplify right side
    243,085.68x = 40,059,603,868.84
  5. Step 5: Solve for x
    x = 40,059,603,868.84/243,085.68
  6. Step 6: Final answer
    x = 164,796.23

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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.