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Finding the Fourth Proportional to 221,833.50, 332,828.01 and 97,184.22

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Solution

The fourth proportional to 221,833.50, 332,828.01 and 97,184.22 is: 145,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,833.50 : 332,828.01 = 97,184.22 : x
  2. Step 2: Convert to fraction form
    221,833.50/332,828.01 = 97,184.22/x
  3. Step 3: Cross multiply
    221,833.50x = 332,828.01 × 97,184.22
  4. Step 4: Simplify right side
    221,833.50x = 32,345,630,546.00
  5. Step 5: Solve for x
    x = 32,345,630,546.00/221,833.50
  6. Step 6: Final answer
    x = 145,810.40

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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.