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Finding the Fourth Proportional to 152,656.55, 228,947.49 and 119,293.87

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Solution

The fourth proportional to 152,656.55, 228,947.49 and 119,293.87 is: 178,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,656.55 : 228,947.49 = 119,293.87 : x
  2. Step 2: Convert to fraction form
    152,656.55/228,947.49 = 119,293.87/x
  3. Step 3: Cross multiply
    152,656.55x = 228,947.49 × 119,293.87
  4. Step 4: Simplify right side
    152,656.55x = 27,312,032,108.89
  5. Step 5: Solve for x
    x = 27,312,032,108.89/152,656.55
  6. Step 6: Final answer
    x = 178,911.63

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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.