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Finding the Fourth Proportional to 155,718, 233,724.68 and 96,374.16

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Solution

The fourth proportional to 155,718, 233,724.68 and 96,374.16 is: 144,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,718 : 233,724.68 = 96,374.16 : x
  2. Step 2: Convert to fraction form
    155,718/233,724.68 = 96,374.16/x
  3. Step 3: Cross multiply
    155,718x = 233,724.68 × 96,374.16
  4. Step 4: Simplify right side
    155,718x = 22,525,019,706.27
  5. Step 5: Solve for x
    x = 22,525,019,706.27/155,718
  6. Step 6: Final answer
    x = 144,652.64

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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.