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Finding the Fourth Proportional to 176,980.80, 265,298.40 and 158,318.40

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Solution

The fourth proportional to 176,980.80, 265,298.40 and 158,318.40 is: 237,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,980.80 : 265,298.40 = 158,318.40 : x
  2. Step 2: Convert to fraction form
    176,980.80/265,298.40 = 158,318.40/x
  3. Step 3: Cross multiply
    176,980.80x = 265,298.40 × 158,318.40
  4. Step 4: Simplify right side
    176,980.80x = 42,001,618,210.56
  5. Step 5: Solve for x
    x = 42,001,618,210.56/176,980.80
  6. Step 6: Final answer
    x = 237,323.02

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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.