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Finding the Fourth Proportional to 230,586.58, 318,357.54 and 144,663.38

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Solution

The fourth proportional to 230,586.58, 318,357.54 and 144,663.38 is: 199,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,586.58 : 318,357.54 = 144,663.38 : x
  2. Step 2: Convert to fraction form
    230,586.58/318,357.54 = 144,663.38/x
  3. Step 3: Cross multiply
    230,586.58x = 318,357.54 × 144,663.38
  4. Step 4: Simplify right side
    230,586.58x = 46,054,677,784.89
  5. Step 5: Solve for x
    x = 46,054,677,784.89/230,586.58
  6. Step 6: Final answer
    x = 199,728.35

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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.