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Finding the Fourth Proportional to 202,312.20, 282,712.20 and 202,312.20

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Solution

The fourth proportional to 202,312.20, 282,712.20 and 202,312.20 is: 282,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,312.20 : 282,712.20 = 202,312.20 : x
  2. Step 2: Convert to fraction form
    202,312.20/282,712.20 = 202,312.20/x
  3. Step 3: Cross multiply
    202,312.20x = 282,712.20 × 202,312.20
  4. Step 4: Simplify right side
    202,312.20x = 57,196,127,148.84
  5. Step 5: Solve for x
    x = 57,196,127,148.84/202,312.20
  6. Step 6: Final answer
    x = 282,712.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.