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Finding the Fourth Proportional to 277,510.10, 416,010 and 99,973.69

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Solution

The fourth proportional to 277,510.10, 416,010 and 99,973.69 is: 149,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.10 : 416,010 = 99,973.69 : x
  2. Step 2: Convert to fraction form
    277,510.10/416,010 = 99,973.69/x
  3. Step 3: Cross multiply
    277,510.10x = 416,010 × 99,973.69
  4. Step 4: Simplify right side
    277,510.10x = 41,590,054,776.90
  5. Step 5: Solve for x
    x = 41,590,054,776.90/277,510.10
  6. Step 6: Final answer
    x = 149,868.62

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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.