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Finding the Fourth Proportional to 201,271.70, 277,998.53 and 146,737.50

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Solution

The fourth proportional to 201,271.70, 277,998.53 and 146,737.50 is: 202,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.70 : 277,998.53 = 146,737.50 : x
  2. Step 2: Convert to fraction form
    201,271.70/277,998.53 = 146,737.50/x
  3. Step 3: Cross multiply
    201,271.70x = 277,998.53 × 146,737.50
  4. Step 4: Simplify right side
    201,271.70x = 40,792,808,562.19
  5. Step 5: Solve for x
    x = 40,792,808,562.19/201,271.70
  6. Step 6: Final answer
    x = 202,675.34

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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.