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Finding the Fourth Proportional to 242,315.92, 334,433.57 and 145,573.63

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Solution

The fourth proportional to 242,315.92, 334,433.57 and 145,573.63 is: 200,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,315.92 : 334,433.57 = 145,573.63 : x
  2. Step 2: Convert to fraction form
    242,315.92/334,433.57 = 145,573.63/x
  3. Step 3: Cross multiply
    242,315.92x = 334,433.57 × 145,573.63
  4. Step 4: Simplify right side
    242,315.92x = 48,684,707,214.81
  5. Step 5: Solve for x
    x = 48,684,707,214.81/242,315.92
  6. Step 6: Final answer
    x = 200,914.20

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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.