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Finding the Fourth Proportional to 177,092.33, 265,568.03 and 64,746.95

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Solution

The fourth proportional to 177,092.33, 265,568.03 and 64,746.95 is: 97,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,092.33 : 265,568.03 = 64,746.95 : x
  2. Step 2: Convert to fraction form
    177,092.33/265,568.03 = 64,746.95/x
  3. Step 3: Cross multiply
    177,092.33x = 265,568.03 × 64,746.95
  4. Step 4: Simplify right side
    177,092.33x = 17,194,720,300.19
  5. Step 5: Solve for x
    x = 17,194,720,300.19/177,092.33
  6. Step 6: Final answer
    x = 97,094.66

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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.