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Finding the Fourth Proportional to 275,970.04, 413,608.76 and 118,012.74

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Solution

The fourth proportional to 275,970.04, 413,608.76 and 118,012.74 is: 176,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,970.04 : 413,608.76 = 118,012.74 : x
  2. Step 2: Convert to fraction form
    275,970.04/413,608.76 = 118,012.74/x
  3. Step 3: Cross multiply
    275,970.04x = 413,608.76 × 118,012.74
  4. Step 4: Simplify right side
    275,970.04x = 48,811,103,055.60
  5. Step 5: Solve for x
    x = 48,811,103,055.60/275,970.04
  6. Step 6: Final answer
    x = 176,871.02

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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.