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Finding the Fourth Proportional to 277,710.42, 383,240.52 and 150,386.10

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Solution

The fourth proportional to 277,710.42, 383,240.52 and 150,386.10 is: 207,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710.42 : 383,240.52 = 150,386.10 : x
  2. Step 2: Convert to fraction form
    277,710.42/383,240.52 = 150,386.10/x
  3. Step 3: Cross multiply
    277,710.42x = 383,240.52 × 150,386.10
  4. Step 4: Simplify right side
    277,710.42x = 57,634,047,164.77
  5. Step 5: Solve for x
    x = 57,634,047,164.77/277,710.42
  6. Step 6: Final answer
    x = 207,532.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.