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Finding the Fourth Proportional to 171,345.78, 257,019.08 and 46,686.78

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Solution

The fourth proportional to 171,345.78, 257,019.08 and 46,686.78 is: 70,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345.78 : 257,019.08 = 46,686.78 : x
  2. Step 2: Convert to fraction form
    171,345.78/257,019.08 = 46,686.78/x
  3. Step 3: Cross multiply
    171,345.78x = 257,019.08 × 46,686.78
  4. Step 4: Simplify right side
    171,345.78x = 11,999,393,010.33
  5. Step 5: Solve for x
    x = 11,999,393,010.33/171,345.78
  6. Step 6: Final answer
    x = 70,030.28

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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.