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Finding the Fourth Proportional to 224,248.95, 309,538.53 and 133,633.34

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Solution

The fourth proportional to 224,248.95, 309,538.53 and 133,633.34 is: 184,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,248.95 : 309,538.53 = 133,633.34 : x
  2. Step 2: Convert to fraction form
    224,248.95/309,538.53 = 133,633.34/x
  3. Step 3: Cross multiply
    224,248.95x = 309,538.53 × 133,633.34
  4. Step 4: Simplify right side
    224,248.95x = 41,364,666,074.90
  5. Step 5: Solve for x
    x = 41,364,666,074.90/224,248.95
  6. Step 6: Final answer
    x = 184,458.68

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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.