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Finding the Fourth Proportional to 242,449.94, 334,420.70 and 151,648.32

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Solution

The fourth proportional to 242,449.94, 334,420.70 and 151,648.32 is: 209,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,449.94 : 334,420.70 = 151,648.32 : x
  2. Step 2: Convert to fraction form
    242,449.94/334,420.70 = 151,648.32/x
  3. Step 3: Cross multiply
    242,449.94x = 334,420.70 × 151,648.32
  4. Step 4: Simplify right side
    242,449.94x = 50,714,337,328.22
  5. Step 5: Solve for x
    x = 50,714,337,328.22/242,449.94
  6. Step 6: Final answer
    x = 209,174.47

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1.5x scale

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.