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Finding the Fourth Proportional to 159,897.82, 239,804.94 and 47,547.82

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Solution

The fourth proportional to 159,897.82, 239,804.94 and 47,547.82 is: 71,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.82 : 239,804.94 = 47,547.82 : x
  2. Step 2: Convert to fraction form
    159,897.82/239,804.94 = 47,547.82/x
  3. Step 3: Cross multiply
    159,897.82x = 239,804.94 × 47,547.82
  4. Step 4: Simplify right side
    159,897.82x = 11,402,202,122.23
  5. Step 5: Solve for x
    x = 11,402,202,122.23/159,897.82
  6. Step 6: Final answer
    x = 71,309.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.