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Finding the Fourth Proportional to 153,196.19, 211,407.69 and 85,211.71

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Solution

The fourth proportional to 153,196.19, 211,407.69 and 85,211.71 is: 117,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,196.19 : 211,407.69 = 85,211.71 : x
  2. Step 2: Convert to fraction form
    153,196.19/211,407.69 = 85,211.71/x
  3. Step 3: Cross multiply
    153,196.19x = 211,407.69 × 85,211.71
  4. Step 4: Simplify right side
    153,196.19x = 18,014,410,243.53
  5. Step 5: Solve for x
    x = 18,014,410,243.53/153,196.19
  6. Step 6: Final answer
    x = 117,590.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.