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Finding the Fourth Proportional to 214,164, 295,552.80 and 118,661.76

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Solution

The fourth proportional to 214,164, 295,552.80 and 118,661.76 is: 163,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,164 : 295,552.80 = 118,661.76 : x
  2. Step 2: Convert to fraction form
    214,164/295,552.80 = 118,661.76/x
  3. Step 3: Cross multiply
    214,164x = 295,552.80 × 118,661.76
  4. Step 4: Simplify right side
    214,164x = 35,070,815,420.93
  5. Step 5: Solve for x
    x = 35,070,815,420.93/214,164
  6. Step 6: Final answer
    x = 163,756.82

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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.