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Finding the Fourth Proportional to 178,564.80, 266,269.56 and 176,962.08

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Solution

The fourth proportional to 178,564.80, 266,269.56 and 176,962.08 is: 263,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564.80 : 266,269.56 = 176,962.08 : x
  2. Step 2: Convert to fraction form
    178,564.80/266,269.56 = 176,962.08/x
  3. Step 3: Cross multiply
    178,564.80x = 266,269.56 × 176,962.08
  4. Step 4: Simplify right side
    178,564.80x = 47,119,615,178.28
  5. Step 5: Solve for x
    x = 47,119,615,178.28/178,564.80
  6. Step 6: Final answer
    x = 263,879.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.