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Finding the Fourth Proportional to 164,888.82, 247,343.58 and 46,569.42

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Solution

The fourth proportional to 164,888.82, 247,343.58 and 46,569.42 is: 69,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,888.82 : 247,343.58 = 46,569.42 : x
  2. Step 2: Convert to fraction form
    164,888.82/247,343.58 = 46,569.42/x
  3. Step 3: Cross multiply
    164,888.82x = 247,343.58 × 46,569.42
  4. Step 4: Simplify right side
    164,888.82x = 11,518,647,061.32
  5. Step 5: Solve for x
    x = 11,518,647,061.32/164,888.82
  6. Step 6: Final answer
    x = 69,857.05

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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.