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Finding the Fourth Proportional to 145,212.90, 217,846.56 and 65,248.90

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Solution

The fourth proportional to 145,212.90, 217,846.56 and 65,248.90 is: 97,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212.90 : 217,846.56 = 65,248.90 : x
  2. Step 2: Convert to fraction form
    145,212.90/217,846.56 = 65,248.90/x
  3. Step 3: Cross multiply
    145,212.90x = 217,846.56 × 65,248.90
  4. Step 4: Simplify right side
    145,212.90x = 14,214,248,408.78
  5. Step 5: Solve for x
    x = 14,214,248,408.78/145,212.90
  6. Step 6: Final answer
    x = 97,885.58

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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.