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Finding the Fourth Proportional to 152,308.28, 210,185.40 and 85,240.28

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Solution

The fourth proportional to 152,308.28, 210,185.40 and 85,240.28 is: 117,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,308.28 : 210,185.40 = 85,240.28 : x
  2. Step 2: Convert to fraction form
    152,308.28/210,185.40 = 85,240.28/x
  3. Step 3: Cross multiply
    152,308.28x = 210,185.40 × 85,240.28
  4. Step 4: Simplify right side
    152,308.28x = 17,916,262,347.91
  5. Step 5: Solve for x
    x = 17,916,262,347.91/152,308.28
  6. Step 6: Final answer
    x = 117,631.57

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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.