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Finding the Fourth Proportional to 152,954.86, 211,018.76 and 112,764.18

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Solution

The fourth proportional to 152,954.86, 211,018.76 and 112,764.18 is: 155,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,954.86 : 211,018.76 = 112,764.18 : x
  2. Step 2: Convert to fraction form
    152,954.86/211,018.76 = 112,764.18/x
  3. Step 3: Cross multiply
    152,954.86x = 211,018.76 × 112,764.18
  4. Step 4: Simplify right side
    152,954.86x = 23,795,357,436.02
  5. Step 5: Solve for x
    x = 23,795,357,436.02/152,954.86
  6. Step 6: Final answer
    x = 155,571.11

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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.