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Finding the Fourth Proportional to 153,353.52, 211,361.84 and 144,496.16

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Solution

The fourth proportional to 153,353.52, 211,361.84 and 144,496.16 is: 199,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,353.52 : 211,361.84 = 144,496.16 : x
  2. Step 2: Convert to fraction form
    153,353.52/211,361.84 = 144,496.16/x
  3. Step 3: Cross multiply
    153,353.52x = 211,361.84 × 144,496.16
  4. Step 4: Simplify right side
    153,353.52x = 30,540,974,250.53
  5. Step 5: Solve for x
    x = 30,540,974,250.53/153,353.52
  6. Step 6: Final answer
    x = 199,154.05

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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.