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Finding the Fourth Proportional to 98,492.22, 147,724.29 and 56,235.06

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Solution

The fourth proportional to 98,492.22, 147,724.29 and 56,235.06 is: 84,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492.22 : 147,724.29 = 56,235.06 : x
  2. Step 2: Convert to fraction form
    98,492.22/147,724.29 = 56,235.06/x
  3. Step 3: Cross multiply
    98,492.22x = 147,724.29 × 56,235.06
  4. Step 4: Simplify right side
    98,492.22x = 8,307,284,311.61
  5. Step 5: Solve for x
    x = 8,307,284,311.61/98,492.22
  6. Step 6: Final answer
    x = 84,344.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.