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Finding the Fourth Proportional to 242,358.96, 334,406.52 and 146,810.16

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Solution

The fourth proportional to 242,358.96, 334,406.52 and 146,810.16 is: 202,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358.96 : 334,406.52 = 146,810.16 : x
  2. Step 2: Convert to fraction form
    242,358.96/334,406.52 = 146,810.16/x
  3. Step 3: Cross multiply
    242,358.96x = 334,406.52 × 146,810.16
  4. Step 4: Simplify right side
    242,358.96x = 49,094,274,706.24
  5. Step 5: Solve for x
    x = 49,094,274,706.24/242,358.96
  6. Step 6: Final answer
    x = 202,568.43

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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.