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Finding the Fourth Proportional to 221,953.83, 306,432.90 and 144,503.67

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Solution

The fourth proportional to 221,953.83, 306,432.90 and 144,503.67 is: 199,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953.83 : 306,432.90 = 144,503.67 : x
  2. Step 2: Convert to fraction form
    221,953.83/306,432.90 = 144,503.67/x
  3. Step 3: Cross multiply
    221,953.83x = 306,432.90 × 144,503.67
  4. Step 4: Simplify right side
    221,953.83x = 44,280,678,658.74
  5. Step 5: Solve for x
    x = 44,280,678,658.74/221,953.83
  6. Step 6: Final answer
    x = 199,504.01

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1.5x scale

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.