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Finding the Fourth Proportional to 242,384.81, 334,504.82 and 145,618.26

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Solution

The fourth proportional to 242,384.81, 334,504.82 and 145,618.26 is: 200,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,384.81 : 334,504.82 = 145,618.26 : x
  2. Step 2: Convert to fraction form
    242,384.81/334,504.82 = 145,618.26/x
  3. Step 3: Cross multiply
    242,384.81x = 334,504.82 × 145,618.26
  4. Step 4: Simplify right side
    242,384.81x = 48,710,010,214.06
  5. Step 5: Solve for x
    x = 48,710,010,214.06/242,384.81
  6. Step 6: Final answer
    x = 200,961.48

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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.