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Finding the Fourth Proportional to 277,710.98, 383,242.32 and 150,386.67

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Solution

The fourth proportional to 277,710.98, 383,242.32 and 150,386.67 is: 207,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710.98 : 383,242.32 = 150,386.67 : x
  2. Step 2: Convert to fraction form
    277,710.98/383,242.32 = 150,386.67/x
  3. Step 3: Cross multiply
    277,710.98x = 383,242.32 × 150,386.67
  4. Step 4: Simplify right side
    277,710.98x = 57,634,536,307.87
  5. Step 5: Solve for x
    x = 57,634,536,307.87/277,710.98
  6. Step 6: Final answer
    x = 207,534.24

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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.