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Finding the Fourth Proportional to 207,886.48, 286,881.95 and 117,243.23

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Solution

The fourth proportional to 207,886.48, 286,881.95 and 117,243.23 is: 161,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,886.48 : 286,881.95 = 117,243.23 : x
  2. Step 2: Convert to fraction form
    207,886.48/286,881.95 = 117,243.23/x
  3. Step 3: Cross multiply
    207,886.48x = 286,881.95 × 117,243.23
  4. Step 4: Simplify right side
    207,886.48x = 33,634,966,919.11
  5. Step 5: Solve for x
    x = 33,634,966,919.11/207,886.48
  6. Step 6: Final answer
    x = 161,794.87

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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.