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Finding the Fourth Proportional to 177,701.04, 266,656.56 and 65,460

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Solution

The fourth proportional to 177,701.04, 266,656.56 and 65,460 is: 98,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,701.04 : 266,656.56 = 65,460 : x
  2. Step 2: Convert to fraction form
    177,701.04/266,656.56 = 65,460/x
  3. Step 3: Cross multiply
    177,701.04x = 266,656.56 × 65,460
  4. Step 4: Simplify right side
    177,701.04x = 17,455,338,417.60
  5. Step 5: Solve for x
    x = 17,455,338,417.60/177,701.04
  6. Step 6: Final answer
    x = 98,228.68

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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.