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Finding the Fourth Proportional to 149,068.60, 223,602.90 and 102,412.60

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Solution

The fourth proportional to 149,068.60, 223,602.90 and 102,412.60 is: 153,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,068.60 : 223,602.90 = 102,412.60 : x
  2. Step 2: Convert to fraction form
    149,068.60/223,602.90 = 102,412.60/x
  3. Step 3: Cross multiply
    149,068.60x = 223,602.90 × 102,412.60
  4. Step 4: Simplify right side
    149,068.60x = 22,899,754,356.54
  5. Step 5: Solve for x
    x = 22,899,754,356.54/149,068.60
  6. Step 6: Final answer
    x = 153,618.90

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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.