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Finding the Fourth Proportional to 151,357.50, 208,893.40 and 97,798.28

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Solution

The fourth proportional to 151,357.50, 208,893.40 and 97,798.28 is: 134,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,357.50 : 208,893.40 = 97,798.28 : x
  2. Step 2: Convert to fraction form
    151,357.50/208,893.40 = 97,798.28/x
  3. Step 3: Cross multiply
    151,357.50x = 208,893.40 × 97,798.28
  4. Step 4: Simplify right side
    151,357.50x = 20,429,413,934.39
  5. Step 5: Solve for x
    x = 20,429,413,934.39/151,357.50
  6. Step 6: Final answer
    x = 134,974.57

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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.