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Finding the Fourth Proportional to 207,252.50, 286,008.45 and 117,828.50

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Solution

The fourth proportional to 207,252.50, 286,008.45 and 117,828.50 is: 162,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252.50 : 286,008.45 = 117,828.50 : x
  2. Step 2: Convert to fraction form
    207,252.50/286,008.45 = 117,828.50/x
  3. Step 3: Cross multiply
    207,252.50x = 286,008.45 × 117,828.50
  4. Step 4: Simplify right side
    207,252.50x = 33,699,946,650.83
  5. Step 5: Solve for x
    x = 33,699,946,650.83/207,252.50
  6. Step 6: Final answer
    x = 162,603.33

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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.