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Finding the Fourth Proportional to 207,896.95, 286,898.20 and 112,403.65

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Solution

The fourth proportional to 207,896.95, 286,898.20 and 112,403.65 is: 155,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896.95 : 286,898.20 = 112,403.65 : x
  2. Step 2: Convert to fraction form
    207,896.95/286,898.20 = 112,403.65/x
  3. Step 3: Cross multiply
    207,896.95x = 286,898.20 × 112,403.65
  4. Step 4: Simplify right side
    207,896.95x = 32,248,404,858.43
  5. Step 5: Solve for x
    x = 32,248,404,858.43/207,896.95
  6. Step 6: Final answer
    x = 155,117.26

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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.