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Finding the Fourth Proportional to 98,698.10, 148,069.01 and 46,078.88

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Solution

The fourth proportional to 98,698.10, 148,069.01 and 46,078.88 is: 69,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,698.10 : 148,069.01 = 46,078.88 : x
  2. Step 2: Convert to fraction form
    98,698.10/148,069.01 = 46,078.88/x
  3. Step 3: Cross multiply
    98,698.10x = 148,069.01 × 46,078.88
  4. Step 4: Simplify right side
    98,698.10x = 6,822,853,518.36
  5. Step 5: Solve for x
    x = 6,822,853,518.36/98,698.10
  6. Step 6: Final answer
    x = 69,128.52

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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.