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Finding the Fourth Proportional to 233,155.78, 349,733.64 and 64,676.14

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Solution

The fourth proportional to 233,155.78, 349,733.64 and 64,676.14 is: 97,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,155.78 : 349,733.64 = 64,676.14 : x
  2. Step 2: Convert to fraction form
    233,155.78/349,733.64 = 64,676.14/x
  3. Step 3: Cross multiply
    233,155.78x = 349,733.64 × 64,676.14
  4. Step 4: Simplify right side
    233,155.78x = 22,619,421,863.35
  5. Step 5: Solve for x
    x = 22,619,421,863.35/233,155.78
  6. Step 6: Final answer
    x = 97,014.20

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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.