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Finding the Fourth Proportional to 211,260.48, 291,547.48 and 120,631.20

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Solution

The fourth proportional to 211,260.48, 291,547.48 and 120,631.20 is: 166,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,260.48 : 291,547.48 = 120,631.20 : x
  2. Step 2: Convert to fraction form
    211,260.48/291,547.48 = 120,631.20/x
  3. Step 3: Cross multiply
    211,260.48x = 291,547.48 × 120,631.20
  4. Step 4: Simplify right side
    211,260.48x = 35,169,722,369.38
  5. Step 5: Solve for x
    x = 35,169,722,369.38/211,260.48
  6. Step 6: Final answer
    x = 166,475.63

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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.