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Finding the Fourth Proportional to 283,742.60, 425,613.90 and 165,547.40

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Solution

The fourth proportional to 283,742.60, 425,613.90 and 165,547.40 is: 248,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,742.60 : 425,613.90 = 165,547.40 : x
  2. Step 2: Convert to fraction form
    283,742.60/425,613.90 = 165,547.40/x
  3. Step 3: Cross multiply
    283,742.60x = 425,613.90 × 165,547.40
  4. Step 4: Simplify right side
    283,742.60x = 70,459,274,548.86
  5. Step 5: Solve for x
    x = 70,459,274,548.86/283,742.60
  6. Step 6: Final answer
    x = 248,321.10

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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.