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Finding the Fourth Proportional to 153,205.20, 229,807.80 and 103,438.80

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Solution

The fourth proportional to 153,205.20, 229,807.80 and 103,438.80 is: 155,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.20 : 229,807.80 = 103,438.80 : x
  2. Step 2: Convert to fraction form
    153,205.20/229,807.80 = 103,438.80/x
  3. Step 3: Cross multiply
    153,205.20x = 229,807.80 × 103,438.80
  4. Step 4: Simplify right side
    153,205.20x = 23,771,043,062.64
  5. Step 5: Solve for x
    x = 23,771,043,062.64/153,205.20
  6. Step 6: Final answer
    x = 155,158.20

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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.