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Finding the Fourth Proportional to 242,530.28, 363,792.86 and 94,785

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Solution

The fourth proportional to 242,530.28, 363,792.86 and 94,785 is: 142,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.28 : 363,792.86 = 94,785 : x
  2. Step 2: Convert to fraction form
    242,530.28/363,792.86 = 94,785/x
  3. Step 3: Cross multiply
    242,530.28x = 363,792.86 × 94,785
  4. Step 4: Simplify right side
    242,530.28x = 34,482,106,235.10
  5. Step 5: Solve for x
    x = 34,482,106,235.10/242,530.28
  6. Step 6: Final answer
    x = 142,176.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.