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Finding the Fourth Proportional to 242,019.76, 334,031.16 and 140,033.20

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Solution

The fourth proportional to 242,019.76, 334,031.16 and 140,033.20 is: 193,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,019.76 : 334,031.16 = 140,033.20 : x
  2. Step 2: Convert to fraction form
    242,019.76/334,031.16 = 140,033.20/x
  3. Step 3: Cross multiply
    242,019.76x = 334,031.16 × 140,033.20
  4. Step 4: Simplify right side
    242,019.76x = 46,775,452,234.51
  5. Step 5: Solve for x
    x = 46,775,452,234.51/242,019.76
  6. Step 6: Final answer
    x = 193,271.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.