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Finding the Fourth Proportional to 200,027.40, 299,312.10 and 147,539.40

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Solution

The fourth proportional to 200,027.40, 299,312.10 and 147,539.40 is: 220,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,027.40 : 299,312.10 = 147,539.40 : x
  2. Step 2: Convert to fraction form
    200,027.40/299,312.10 = 147,539.40/x
  3. Step 3: Cross multiply
    200,027.40x = 299,312.10 × 147,539.40
  4. Step 4: Simplify right side
    200,027.40x = 44,160,327,646.74
  5. Step 5: Solve for x
    x = 44,160,327,646.74/200,027.40
  6. Step 6: Final answer
    x = 220,771.39

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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.