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Finding the Fourth Proportional to 98,556.30, 147,907.35 and 65,265.30

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Solution

The fourth proportional to 98,556.30, 147,907.35 and 65,265.30 is: 97,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556.30 : 147,907.35 = 65,265.30 : x
  2. Step 2: Convert to fraction form
    98,556.30/147,907.35 = 65,265.30/x
  3. Step 3: Cross multiply
    98,556.30x = 147,907.35 × 65,265.30
  4. Step 4: Simplify right side
    98,556.30x = 9,653,217,569.96
  5. Step 5: Solve for x
    x = 9,653,217,569.96/98,556.30
  6. Step 6: Final answer
    x = 97,946.23

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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.