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Finding the Fourth Proportional to 144,511.93, 216,748.75 and 65,608.01

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Solution

The fourth proportional to 144,511.93, 216,748.75 and 65,608.01 is: 98,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,511.93 : 216,748.75 = 65,608.01 : x
  2. Step 2: Convert to fraction form
    144,511.93/216,748.75 = 65,608.01/x
  3. Step 3: Cross multiply
    144,511.93x = 216,748.75 × 65,608.01
  4. Step 4: Simplify right side
    144,511.93x = 14,220,453,073.74
  5. Step 5: Solve for x
    x = 14,220,453,073.74/144,511.93
  6. Step 6: Final answer
    x = 98,403.32

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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.