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Finding the Fourth Proportional to 362,024.61, 543,124.65 and 109,289.98

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Solution

The fourth proportional to 362,024.61, 543,124.65 and 109,289.98 is: 163,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,024.61 : 543,124.65 = 109,289.98 : x
  2. Step 2: Convert to fraction form
    362,024.61/543,124.65 = 109,289.98/x
  3. Step 3: Cross multiply
    362,024.61x = 543,124.65 × 109,289.98
  4. Step 4: Simplify right side
    362,024.61x = 59,358,081,999.39
  5. Step 5: Solve for x
    x = 59,358,081,999.39/362,024.61
  6. Step 6: Final answer
    x = 163,961.46

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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.