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Finding the Fourth Proportional to 118,314, 163,059.48 and 98,064.24

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Solution

The fourth proportional to 118,314, 163,059.48 and 98,064.24 is: 135,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314 : 163,059.48 = 98,064.24 : x
  2. Step 2: Convert to fraction form
    118,314/163,059.48 = 98,064.24/x
  3. Step 3: Cross multiply
    118,314x = 163,059.48 × 98,064.24
  4. Step 4: Simplify right side
    118,314x = 15,990,303,981.00
  5. Step 5: Solve for x
    x = 15,990,303,981.00/118,314
  6. Step 6: Final answer
    x = 135,151.41

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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.