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Finding the Fourth Proportional to 208,543.80, 312,815.70 and 119,970.30

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Solution

The fourth proportional to 208,543.80, 312,815.70 and 119,970.30 is: 179,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.80 : 312,815.70 = 119,970.30 : x
  2. Step 2: Convert to fraction form
    208,543.80/312,815.70 = 119,970.30/x
  3. Step 3: Cross multiply
    208,543.80x = 312,815.70 × 119,970.30
  4. Step 4: Simplify right side
    208,543.80x = 37,528,593,373.71
  5. Step 5: Solve for x
    x = 37,528,593,373.71/208,543.80
  6. Step 6: Final answer
    x = 179,955.45

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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.