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Finding the Fourth Proportional to 146,224.95, 219,423.51 and 61,978.98

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Solution

The fourth proportional to 146,224.95, 219,423.51 and 61,978.98 is: 93,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,224.95 : 219,423.51 = 61,978.98 : x
  2. Step 2: Convert to fraction form
    146,224.95/219,423.51 = 61,978.98/x
  3. Step 3: Cross multiply
    146,224.95x = 219,423.51 × 61,978.98
  4. Step 4: Simplify right side
    146,224.95x = 13,599,645,337.82
  5. Step 5: Solve for x
    x = 13,599,645,337.82/146,224.95
  6. Step 6: Final answer
    x = 93,004.96

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1.5x scale

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.