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Finding the Fourth Proportional to 98,140.40, 147,210.60 and 51,407.60

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Solution

The fourth proportional to 98,140.40, 147,210.60 and 51,407.60 is: 77,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,140.40 : 147,210.60 = 51,407.60 : x
  2. Step 2: Convert to fraction form
    98,140.40/147,210.60 = 51,407.60/x
  3. Step 3: Cross multiply
    98,140.40x = 147,210.60 × 51,407.60
  4. Step 4: Simplify right side
    98,140.40x = 7,567,743,640.56
  5. Step 5: Solve for x
    x = 7,567,743,640.56/98,140.40
  6. Step 6: Final answer
    x = 77,111.40

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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.