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Finding the Fourth Proportional to 287,102.40, 430,653.60 and 87,421.20

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Solution

The fourth proportional to 287,102.40, 430,653.60 and 87,421.20 is: 131,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.40 : 430,653.60 = 87,421.20 : x
  2. Step 2: Convert to fraction form
    287,102.40/430,653.60 = 87,421.20/x
  3. Step 3: Cross multiply
    287,102.40x = 430,653.60 × 87,421.20
  4. Step 4: Simplify right side
    287,102.40x = 37,648,254,496.32
  5. Step 5: Solve for x
    x = 37,648,254,496.32/287,102.40
  6. Step 6: Final answer
    x = 131,131.80

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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.