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Finding the Fourth Proportional to 152,731.86, 210,810 and 85,685.46

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Solution

The fourth proportional to 152,731.86, 210,810 and 85,685.46 is: 118,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,731.86 : 210,810 = 85,685.46 : x
  2. Step 2: Convert to fraction form
    152,731.86/210,810 = 85,685.46/x
  3. Step 3: Cross multiply
    152,731.86x = 210,810 × 85,685.46
  4. Step 4: Simplify right side
    152,731.86x = 18,063,351,822.60
  5. Step 5: Solve for x
    x = 18,063,351,822.60/152,731.86
  6. Step 6: Final answer
    x = 118,268.39

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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.