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Finding the Fourth Proportional to 105,024.16, 157,166.40 and 65,599.84

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Solution

The fourth proportional to 105,024.16, 157,166.40 and 65,599.84 is: 98,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.16 : 157,166.40 = 65,599.84 : x
  2. Step 2: Convert to fraction form
    105,024.16/157,166.40 = 65,599.84/x
  3. Step 3: Cross multiply
    105,024.16x = 157,166.40 × 65,599.84
  4. Step 4: Simplify right side
    105,024.16x = 10,310,090,693.38
  5. Step 5: Solve for x
    x = 10,310,090,693.38/105,024.16
  6. Step 6: Final answer
    x = 98,168.75

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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.