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Finding the Fourth Proportional to 207,903.10, 311,854.65 and 102,927.10

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Solution

The fourth proportional to 207,903.10, 311,854.65 and 102,927.10 is: 154,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,903.10 : 311,854.65 = 102,927.10 : x
  2. Step 2: Convert to fraction form
    207,903.10/311,854.65 = 102,927.10/x
  3. Step 3: Cross multiply
    207,903.10x = 311,854.65 × 102,927.10
  4. Step 4: Simplify right side
    207,903.10x = 32,098,294,746.02
  5. Step 5: Solve for x
    x = 32,098,294,746.02/207,903.10
  6. Step 6: Final answer
    x = 154,390.65

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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.