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Finding the Fourth Proportional to 96,497.16, 144,968.22 and 92,511.40

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Solution

The fourth proportional to 96,497.16, 144,968.22 and 92,511.40 is: 138,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497.16 : 144,968.22 = 92,511.40 : x
  2. Step 2: Convert to fraction form
    96,497.16/144,968.22 = 92,511.40/x
  3. Step 3: Cross multiply
    96,497.16x = 144,968.22 × 92,511.40
  4. Step 4: Simplify right side
    96,497.16x = 13,411,212,987.71
  5. Step 5: Solve for x
    x = 13,411,212,987.71/96,497.16
  6. Step 6: Final answer
    x = 138,980.39

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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.