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Finding the Fourth Proportional to 253,524.42, 349,883.12 and 144,631.16

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Solution

The fourth proportional to 253,524.42, 349,883.12 and 144,631.16 is: 199,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,524.42 : 349,883.12 = 144,631.16 : x
  2. Step 2: Convert to fraction form
    253,524.42/349,883.12 = 144,631.16/x
  3. Step 3: Cross multiply
    253,524.42x = 349,883.12 × 144,631.16
  4. Step 4: Simplify right side
    253,524.42x = 50,603,999,037.45
  5. Step 5: Solve for x
    x = 50,603,999,037.45/253,524.42
  6. Step 6: Final answer
    x = 199,602.07

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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.