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Finding the Fourth Proportional to 152,715.40, 210,747 and 84,742.84

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Solution

The fourth proportional to 152,715.40, 210,747 and 84,742.84 is: 116,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,715.40 : 210,747 = 84,742.84 : x
  2. Step 2: Convert to fraction form
    152,715.40/210,747 = 84,742.84/x
  3. Step 3: Cross multiply
    152,715.40x = 210,747 × 84,742.84
  4. Step 4: Simplify right side
    152,715.40x = 17,859,299,301.48
  5. Step 5: Solve for x
    x = 17,859,299,301.48/152,715.40
  6. Step 6: Final answer
    x = 116,944.98

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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.