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Finding the Fourth Proportional to 233,309.10, 349,675.65 and 158,429.10

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Solution

The fourth proportional to 233,309.10, 349,675.65 and 158,429.10 is: 237,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,309.10 : 349,675.65 = 158,429.10 : x
  2. Step 2: Convert to fraction form
    233,309.10/349,675.65 = 158,429.10/x
  3. Step 3: Cross multiply
    233,309.10x = 349,675.65 × 158,429.10
  4. Step 4: Simplify right side
    233,309.10x = 55,398,798,521.42
  5. Step 5: Solve for x
    x = 55,398,798,521.42/233,309.10
  6. Step 6: Final answer
    x = 237,448.08

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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.