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Finding the Fourth Proportional to 152,731.29, 210,770.34 and 84,748.53

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Solution

The fourth proportional to 152,731.29, 210,770.34 and 84,748.53 is: 116,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,731.29 : 210,770.34 = 84,748.53 : x
  2. Step 2: Convert to fraction form
    152,731.29/210,770.34 = 84,748.53/x
  3. Step 3: Cross multiply
    152,731.29x = 210,770.34 × 84,748.53
  4. Step 4: Simplify right side
    152,731.29x = 17,862,476,482.60
  5. Step 5: Solve for x
    x = 17,862,476,482.60/152,731.29
  6. Step 6: Final answer
    x = 116,953.61

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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.