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Finding the Fourth Proportional to 434,154.86, 651,293.46 and 134,659.80

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Solution

The fourth proportional to 434,154.86, 651,293.46 and 134,659.80 is: 202,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,154.86 : 651,293.46 = 134,659.80 : x
  2. Step 2: Convert to fraction form
    434,154.86/651,293.46 = 134,659.80/x
  3. Step 3: Cross multiply
    434,154.86x = 651,293.46 × 134,659.80
  4. Step 4: Simplify right side
    434,154.86x = 87,703,047,064.91
  5. Step 5: Solve for x
    x = 87,703,047,064.91/434,154.86
  6. Step 6: Final answer
    x = 202,008.67

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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.