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Finding the Fourth Proportional to 242,348.96, 334,392.72 and 146,800.16

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Solution

The fourth proportional to 242,348.96, 334,392.72 and 146,800.16 is: 202,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,348.96 : 334,392.72 = 146,800.16 : x
  2. Step 2: Convert to fraction form
    242,348.96/334,392.72 = 146,800.16/x
  3. Step 3: Cross multiply
    242,348.96x = 334,392.72 × 146,800.16
  4. Step 4: Simplify right side
    242,348.96x = 49,088,904,798.84
  5. Step 5: Solve for x
    x = 49,088,904,798.84/242,348.96
  6. Step 6: Final answer
    x = 202,554.63

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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.