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Finding the Fourth Proportional to 134,897.81, 186,097.30 and 78,276.38

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Solution

The fourth proportional to 134,897.81, 186,097.30 and 78,276.38 is: 107,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,897.81 : 186,097.30 = 78,276.38 : x
  2. Step 2: Convert to fraction form
    134,897.81/186,097.30 = 78,276.38/x
  3. Step 3: Cross multiply
    134,897.81x = 186,097.30 × 78,276.38
  4. Step 4: Simplify right side
    134,897.81x = 14,567,021,845.60
  5. Step 5: Solve for x
    x = 14,567,021,845.60/134,897.81
  6. Step 6: Final answer
    x = 107,985.61

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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.