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Finding the Fourth Proportional to 475,767.18, 713,443.41 and 160,139.34

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Solution

The fourth proportional to 475,767.18, 713,443.41 and 160,139.34 is: 240,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,767.18 : 713,443.41 = 160,139.34 : x
  2. Step 2: Convert to fraction form
    475,767.18/713,443.41 = 160,139.34/x
  3. Step 3: Cross multiply
    475,767.18x = 713,443.41 × 160,139.34
  4. Step 4: Simplify right side
    475,767.18x = 114,250,356,804.75
  5. Step 5: Solve for x
    x = 114,250,356,804.75/475,767.18
  6. Step 6: Final answer
    x = 240,139.21

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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.