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Finding the Fourth Proportional to 145,299.22, 200,602.38 and 115,206.10

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Solution

The fourth proportional to 145,299.22, 200,602.38 and 115,206.10 is: 159,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,299.22 : 200,602.38 = 115,206.10 : x
  2. Step 2: Convert to fraction form
    145,299.22/200,602.38 = 115,206.10/x
  3. Step 3: Cross multiply
    145,299.22x = 200,602.38 × 115,206.10
  4. Step 4: Simplify right side
    145,299.22x = 23,110,617,850.52
  5. Step 5: Solve for x
    x = 23,110,617,850.52/145,299.22
  6. Step 6: Final answer
    x = 159,055.35

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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.