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Finding the Fourth Proportional to 207,970.38, 286,999.13 and 112,477.08

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Solution

The fourth proportional to 207,970.38, 286,999.13 and 112,477.08 is: 155,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.38 : 286,999.13 = 112,477.08 : x
  2. Step 2: Convert to fraction form
    207,970.38/286,999.13 = 112,477.08/x
  3. Step 3: Cross multiply
    207,970.38x = 286,999.13 × 112,477.08
  4. Step 4: Simplify right side
    207,970.38x = 32,280,823,426.22
  5. Step 5: Solve for x
    x = 32,280,823,426.22/207,970.38
  6. Step 6: Final answer
    x = 155,218.37

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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.