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Finding the Fourth Proportional to 169,196, 253,798.08 and 56,877.68

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Solution

The fourth proportional to 169,196, 253,798.08 and 56,877.68 is: 85,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,196 : 253,798.08 = 56,877.68 : x
  2. Step 2: Convert to fraction form
    169,196/253,798.08 = 56,877.68/x
  3. Step 3: Cross multiply
    169,196x = 253,798.08 × 56,877.68
  4. Step 4: Simplify right side
    169,196x = 14,435,445,978.85
  5. Step 5: Solve for x
    x = 14,435,445,978.85/169,196
  6. Step 6: Final answer
    x = 85,317.89

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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.