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Finding the Fourth Proportional to 164,888.36, 247,342.10 and 46,549.79

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Solution

The fourth proportional to 164,888.36, 247,342.10 and 46,549.79 is: 69,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,888.36 : 247,342.10 = 46,549.79 : x
  2. Step 2: Convert to fraction form
    164,888.36/247,342.10 = 46,549.79/x
  3. Step 3: Cross multiply
    164,888.36x = 247,342.10 × 46,549.79
  4. Step 4: Simplify right side
    164,888.36x = 11,513,721,343.70
  5. Step 5: Solve for x
    x = 11,513,721,343.70/164,888.36
  6. Step 6: Final answer
    x = 69,827.38

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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.