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Finding the Fourth Proportional to 153,602.09, 230,402.96 and 42,794.09

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Solution

The fourth proportional to 153,602.09, 230,402.96 and 42,794.09 is: 64,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602.09 : 230,402.96 = 42,794.09 : x
  2. Step 2: Convert to fraction form
    153,602.09/230,402.96 = 42,794.09/x
  3. Step 3: Cross multiply
    153,602.09x = 230,402.96 × 42,794.09
  4. Step 4: Simplify right side
    153,602.09x = 9,859,884,792.54
  5. Step 5: Solve for x
    x = 9,859,884,792.54/153,602.09
  6. Step 6: Final answer
    x = 64,191.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.