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Finding the Fourth Proportional to 287,101.40, 430,743.90 and 87,459.80

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Solution

The fourth proportional to 287,101.40, 430,743.90 and 87,459.80 is: 131,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,101.40 : 430,743.90 = 87,459.80 : x
  2. Step 2: Convert to fraction form
    287,101.40/430,743.90 = 87,459.80/x
  3. Step 3: Cross multiply
    287,101.40x = 430,743.90 × 87,459.80
  4. Step 4: Simplify right side
    287,101.40x = 37,672,775,345.22
  5. Step 5: Solve for x
    x = 37,672,775,345.22/287,101.40
  6. Step 6: Final answer
    x = 131,217.67

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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.