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Finding the Fourth Proportional to 216,149.20, 324,070.20 and 97,877.20

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Solution

The fourth proportional to 216,149.20, 324,070.20 and 97,877.20 is: 146,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,149.20 : 324,070.20 = 97,877.20 : x
  2. Step 2: Convert to fraction form
    216,149.20/324,070.20 = 97,877.20/x
  3. Step 3: Cross multiply
    216,149.20x = 324,070.20 × 97,877.20
  4. Step 4: Simplify right side
    216,149.20x = 31,719,083,779.44
  5. Step 5: Solve for x
    x = 31,719,083,779.44/216,149.20
  6. Step 6: Final answer
    x = 146,746.25

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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.