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Finding the Fourth Proportional to 144,415.79, 216,492.46 and 65,486.96

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Solution

The fourth proportional to 144,415.79, 216,492.46 and 65,486.96 is: 98,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,415.79 : 216,492.46 = 65,486.96 : x
  2. Step 2: Convert to fraction form
    144,415.79/216,492.46 = 65,486.96/x
  3. Step 3: Cross multiply
    144,415.79x = 216,492.46 × 65,486.96
  4. Step 4: Simplify right side
    144,415.79x = 14,177,433,002.35
  5. Step 5: Solve for x
    x = 14,177,433,002.35/144,415.79
  6. Step 6: Final answer
    x = 98,170.93

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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.