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Finding the Fourth Proportional to 202,922.40, 280,041.15 and 112,276.89

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Solution

The fourth proportional to 202,922.40, 280,041.15 and 112,276.89 is: 154,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,922.40 : 280,041.15 = 112,276.89 : x
  2. Step 2: Convert to fraction form
    202,922.40/280,041.15 = 112,276.89/x
  3. Step 3: Cross multiply
    202,922.40x = 280,041.15 × 112,276.89
  4. Step 4: Simplify right side
    202,922.40x = 31,442,149,394.02
  5. Step 5: Solve for x
    x = 31,442,149,394.02/202,922.40
  6. Step 6: Final answer
    x = 154,946.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.