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Finding the Fourth Proportional to 152,120.86, 209,970.61 and 106,809.86

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Solution

The fourth proportional to 152,120.86, 209,970.61 and 106,809.86 is: 147,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,120.86 : 209,970.61 = 106,809.86 : x
  2. Step 2: Convert to fraction form
    152,120.86/209,970.61 = 106,809.86/x
  3. Step 3: Cross multiply
    152,120.86x = 209,970.61 × 106,809.86
  4. Step 4: Simplify right side
    152,120.86x = 22,426,931,716.12
  5. Step 5: Solve for x
    x = 22,426,931,716.12/152,120.86
  6. Step 6: Final answer
    x = 147,428.38

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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.