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Finding the Fourth Proportional to 176,233.95, 243,329.27 and 108,342

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Solution

The fourth proportional to 176,233.95, 243,329.27 and 108,342 is: 149,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,233.95 : 243,329.27 = 108,342 : x
  2. Step 2: Convert to fraction form
    176,233.95/243,329.27 = 108,342/x
  3. Step 3: Cross multiply
    176,233.95x = 243,329.27 × 108,342
  4. Step 4: Simplify right side
    176,233.95x = 26,362,779,228.63
  5. Step 5: Solve for x
    x = 26,362,779,228.63/176,233.95
  6. Step 6: Final answer
    x = 149,589.67

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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.