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Finding the Fourth Proportional to 98,019.34, 135,265.68 and 53,307.34

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Solution

The fourth proportional to 98,019.34, 135,265.68 and 53,307.34 is: 73,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.34 : 135,265.68 = 53,307.34 : x
  2. Step 2: Convert to fraction form
    98,019.34/135,265.68 = 53,307.34/x
  3. Step 3: Cross multiply
    98,019.34x = 135,265.68 × 53,307.34
  4. Step 4: Simplify right side
    98,019.34x = 7,210,653,594.09
  5. Step 5: Solve for x
    x = 7,210,653,594.09/98,019.34
  6. Step 6: Final answer
    x = 73,563.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.