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Finding the Fourth Proportional to 242,354, 334,474.44 and 141,836.24

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Solution

The fourth proportional to 242,354, 334,474.44 and 141,836.24 is: 195,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,354 : 334,474.44 = 141,836.24 : x
  2. Step 2: Convert to fraction form
    242,354/334,474.44 = 141,836.24/x
  3. Step 3: Cross multiply
    242,354x = 334,474.44 × 141,836.24
  4. Step 4: Simplify right side
    242,354x = 47,440,596,945.71
  5. Step 5: Solve for x
    x = 47,440,596,945.71/242,354
  6. Step 6: Final answer
    x = 195,749.18

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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.