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Finding the Fourth Proportional to 152,228.39, 210,071.85 and 83,317.52

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Solution

The fourth proportional to 152,228.39, 210,071.85 and 83,317.52 is: 114,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,228.39 : 210,071.85 = 83,317.52 : x
  2. Step 2: Convert to fraction form
    152,228.39/210,071.85 = 83,317.52/x
  3. Step 3: Cross multiply
    152,228.39x = 210,071.85 × 83,317.52
  4. Step 4: Simplify right side
    152,228.39x = 17,502,665,563.81
  5. Step 5: Solve for x
    x = 17,502,665,563.81/152,228.39
  6. Step 6: Final answer
    x = 114,976.36

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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.