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Finding the Fourth Proportional to 242,364, 334,488.24 and 141,846.24

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Solution

The fourth proportional to 242,364, 334,488.24 and 141,846.24 is: 195,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,364 : 334,488.24 = 141,846.24 : x
  2. Step 2: Convert to fraction form
    242,364/334,488.24 = 141,846.24/x
  3. Step 3: Cross multiply
    242,364x = 334,488.24 × 141,846.24
  4. Step 4: Simplify right side
    242,364x = 47,445,899,168.22
  5. Step 5: Solve for x
    x = 47,445,899,168.22/242,364
  6. Step 6: Final answer
    x = 195,762.98

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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.