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Finding the Fourth Proportional to 145,913.84, 218,870.76 and 35,105.84

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Solution

The fourth proportional to 145,913.84, 218,870.76 and 35,105.84 is: 52,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,913.84 : 218,870.76 = 35,105.84 : x
  2. Step 2: Convert to fraction form
    145,913.84/218,870.76 = 35,105.84/x
  3. Step 3: Cross multiply
    145,913.84x = 218,870.76 × 35,105.84
  4. Step 4: Simplify right side
    145,913.84x = 7,683,641,881.24
  5. Step 5: Solve for x
    x = 7,683,641,881.24/145,913.84
  6. Step 6: Final answer
    x = 52,658.76

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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.