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Finding the Fourth Proportional to 152,492.17, 210,453.85 and 84,523.86

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Solution

The fourth proportional to 152,492.17, 210,453.85 and 84,523.86 is: 116,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,492.17 : 210,453.85 = 84,523.86 : x
  2. Step 2: Convert to fraction form
    152,492.17/210,453.85 = 84,523.86/x
  3. Step 3: Cross multiply
    152,492.17x = 210,453.85 × 84,523.86
  4. Step 4: Simplify right side
    152,492.17x = 17,788,370,701.59
  5. Step 5: Solve for x
    x = 17,788,370,701.59/152,492.17
  6. Step 6: Final answer
    x = 116,651.04

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Why These Related Problems?

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