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Finding the Fourth Proportional to 209,094.51, 288,529.59 and 118,432.38

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Solution

The fourth proportional to 209,094.51, 288,529.59 and 118,432.38 is: 163,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,094.51 : 288,529.59 = 118,432.38 : x
  2. Step 2: Convert to fraction form
    209,094.51/288,529.59 = 118,432.38/x
  3. Step 3: Cross multiply
    209,094.51x = 288,529.59 × 118,432.38
  4. Step 4: Simplify right side
    209,094.51x = 34,171,246,044.12
  5. Step 5: Solve for x
    x = 34,171,246,044.12/209,094.51
  6. Step 6: Final answer
    x = 163,424.88

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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.