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Finding the Fourth Proportional to 207,253, 286,009.14 and 117,829

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Solution

The fourth proportional to 207,253, 286,009.14 and 117,829 is: 162,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,253 : 286,009.14 = 117,829 : x
  2. Step 2: Convert to fraction form
    207,253/286,009.14 = 117,829/x
  3. Step 3: Cross multiply
    207,253x = 286,009.14 × 117,829
  4. Step 4: Simplify right side
    207,253x = 33,700,170,957.06
  5. Step 5: Solve for x
    x = 33,700,170,957.06/207,253
  6. Step 6: Final answer
    x = 162,604.02

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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.