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Finding the Fourth Proportional to 176,176.40, 263,724.60 and 97,048.40

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Solution

The fourth proportional to 176,176.40, 263,724.60 and 97,048.40 is: 145,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,176.40 : 263,724.60 = 97,048.40 : x
  2. Step 2: Convert to fraction form
    176,176.40/263,724.60 = 97,048.40/x
  3. Step 3: Cross multiply
    176,176.40x = 263,724.60 × 97,048.40
  4. Step 4: Simplify right side
    176,176.40x = 25,594,050,470.64
  5. Step 5: Solve for x
    x = 25,594,050,470.64/176,176.40
  6. Step 6: Final answer
    x = 145,275.14

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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.