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Finding the Fourth Proportional to 178,275.36, 245,958.72 and 105,663.55

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Solution

The fourth proportional to 178,275.36, 245,958.72 and 105,663.55 is: 145,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,275.36 : 245,958.72 = 105,663.55 : x
  2. Step 2: Convert to fraction form
    178,275.36/245,958.72 = 105,663.55/x
  3. Step 3: Cross multiply
    178,275.36x = 245,958.72 × 105,663.55
  4. Step 4: Simplify right side
    178,275.36x = 25,988,871,508.66
  5. Step 5: Solve for x
    x = 25,988,871,508.66/178,275.36
  6. Step 6: Final answer
    x = 145,779.38

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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.