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Finding the Fourth Proportional to 177,089.76, 265,674.06 and 64,767.47

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Solution

The fourth proportional to 177,089.76, 265,674.06 and 64,767.47 is: 97,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,089.76 : 265,674.06 = 64,767.47 : x
  2. Step 2: Convert to fraction form
    177,089.76/265,674.06 = 64,767.47/x
  3. Step 3: Cross multiply
    177,089.76x = 265,674.06 × 64,767.47
  4. Step 4: Simplify right side
    177,089.76x = 17,207,035,382.46
  5. Step 5: Solve for x
    x = 17,207,035,382.46/177,089.76
  6. Step 6: Final answer
    x = 97,165.61

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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.