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Finding the Fourth Proportional to 160,602.16, 221,643.48 and 88,988.80

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Solution

The fourth proportional to 160,602.16, 221,643.48 and 88,988.80 is: 122,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,602.16 : 221,643.48 = 88,988.80 : x
  2. Step 2: Convert to fraction form
    160,602.16/221,643.48 = 88,988.80/x
  3. Step 3: Cross multiply
    160,602.16x = 221,643.48 × 88,988.80
  4. Step 4: Simplify right side
    160,602.16x = 19,723,787,313.02
  5. Step 5: Solve for x
    x = 19,723,787,313.02/160,602.16
  6. Step 6: Final answer
    x = 122,811.47

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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.