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Finding the Fourth Proportional to 277,507.10, 416,005.50 and 99,970.69

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Solution

The fourth proportional to 277,507.10, 416,005.50 and 99,970.69 is: 149,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,507.10 : 416,005.50 = 99,970.69 : x
  2. Step 2: Convert to fraction form
    277,507.10/416,005.50 = 99,970.69/x
  3. Step 3: Cross multiply
    277,507.10x = 416,005.50 × 99,970.69
  4. Step 4: Simplify right side
    277,507.10x = 41,588,356,878.80
  5. Step 5: Solve for x
    x = 41,588,356,878.80/277,507.10
  6. Step 6: Final answer
    x = 149,864.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.