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Finding the Fourth Proportional to 242,113.96, 333,980.76 and 145,293.04

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Solution

The fourth proportional to 242,113.96, 333,980.76 and 145,293.04 is: 200,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,113.96 : 333,980.76 = 145,293.04 : x
  2. Step 2: Convert to fraction form
    242,113.96/333,980.76 = 145,293.04/x
  3. Step 3: Cross multiply
    242,113.96x = 333,980.76 × 145,293.04
  4. Step 4: Simplify right side
    242,113.96x = 48,525,079,921.91
  5. Step 5: Solve for x
    x = 48,525,079,921.91/242,113.96
  6. Step 6: Final answer
    x = 200,422.48

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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.