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Finding the Fourth Proportional to 177,543.16, 266,011.62 and 97,648

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Solution

The fourth proportional to 177,543.16, 266,011.62 and 97,648 is: 146,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,543.16 : 266,011.62 = 97,648 : x
  2. Step 2: Convert to fraction form
    177,543.16/266,011.62 = 97,648/x
  3. Step 3: Cross multiply
    177,543.16x = 266,011.62 × 97,648
  4. Step 4: Simplify right side
    177,543.16x = 25,975,502,669.76
  5. Step 5: Solve for x
    x = 25,975,502,669.76/177,543.16
  6. Step 6: Final answer
    x = 146,305.29

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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.