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Finding the Fourth Proportional to 152,227.39, 210,070.47 and 83,316.52

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Solution

The fourth proportional to 152,227.39, 210,070.47 and 83,316.52 is: 114,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,227.39 : 210,070.47 = 83,316.52 : x
  2. Step 2: Convert to fraction form
    152,227.39/210,070.47 = 83,316.52/x
  3. Step 3: Cross multiply
    152,227.39x = 210,070.47 × 83,316.52
  4. Step 4: Simplify right side
    152,227.39x = 17,502,339,464.81
  5. Step 5: Solve for x
    x = 17,502,339,464.81/152,227.39
  6. Step 6: Final answer
    x = 114,974.97

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