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Finding the Fourth Proportional to 377,206.86, 565,730.76 and 110,895.06

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Solution

The fourth proportional to 377,206.86, 565,730.76 and 110,895.06 is: 166,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,206.86 : 565,730.76 = 110,895.06 : x
  2. Step 2: Convert to fraction form
    377,206.86/565,730.76 = 110,895.06/x
  3. Step 3: Cross multiply
    377,206.86x = 565,730.76 × 110,895.06
  4. Step 4: Simplify right side
    377,206.86x = 62,736,746,574.05
  5. Step 5: Solve for x
    x = 62,736,746,574.05/377,206.86
  6. Step 6: Final answer
    x = 166,319.21

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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.