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Finding the Fourth Proportional to 145,813.14, 218,719.68 and 35,005.14

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Solution

The fourth proportional to 145,813.14, 218,719.68 and 35,005.14 is: 52,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,813.14 : 218,719.68 = 35,005.14 : x
  2. Step 2: Convert to fraction form
    145,813.14/218,719.68 = 35,005.14/x
  3. Step 3: Cross multiply
    145,813.14x = 218,719.68 × 35,005.14
  4. Step 4: Simplify right side
    145,813.14x = 7,656,313,019.16
  5. Step 5: Solve for x
    x = 7,656,313,019.16/145,813.14
  6. Step 6: Final answer
    x = 52,507.70

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1.5x scale

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.