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Finding the Fourth Proportional to 233,357.32, 350,054.40 and 114,964.08

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Solution

The fourth proportional to 233,357.32, 350,054.40 and 114,964.08 is: 172,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,357.32 : 350,054.40 = 114,964.08 : x
  2. Step 2: Convert to fraction form
    233,357.32/350,054.40 = 114,964.08/x
  3. Step 3: Cross multiply
    233,357.32x = 350,054.40 × 114,964.08
  4. Step 4: Simplify right side
    233,357.32x = 40,243,682,045.95
  5. Step 5: Solve for x
    x = 40,243,682,045.95/233,357.32
  6. Step 6: Final answer
    x = 172,455.19

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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.