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Finding the Fourth Proportional to 177,271, 265,906.32 and 64,960

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Solution

The fourth proportional to 177,271, 265,906.32 and 64,960 is: 97,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,271 : 265,906.32 = 64,960 : x
  2. Step 2: Convert to fraction form
    177,271/265,906.32 = 64,960/x
  3. Step 3: Cross multiply
    177,271x = 265,906.32 × 64,960
  4. Step 4: Simplify right side
    177,271x = 17,273,274,547.20
  5. Step 5: Solve for x
    x = 17,273,274,547.20/177,271
  6. Step 6: Final answer
    x = 97,439.93

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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.