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Finding the Fourth Proportional to 176,802.96, 244,143.72 and 120,349.20

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Solution

The fourth proportional to 176,802.96, 244,143.72 and 120,349.20 is: 166,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,802.96 : 244,143.72 = 120,349.20 : x
  2. Step 2: Convert to fraction form
    176,802.96/244,143.72 = 120,349.20/x
  3. Step 3: Cross multiply
    176,802.96x = 244,143.72 × 120,349.20
  4. Step 4: Simplify right side
    176,802.96x = 29,382,501,387.02
  5. Step 5: Solve for x
    x = 29,382,501,387.02/176,802.96
  6. Step 6: Final answer
    x = 166,187.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.