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Finding the Fourth Proportional to 295,228.77, 442,734.33 and 105,637.74

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Solution

The fourth proportional to 295,228.77, 442,734.33 and 105,637.74 is: 158,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,228.77 : 442,734.33 = 105,637.74 : x
  2. Step 2: Convert to fraction form
    295,228.77/442,734.33 = 105,637.74/x
  3. Step 3: Cross multiply
    295,228.77x = 442,734.33 × 105,637.74
  4. Step 4: Simplify right side
    295,228.77x = 46,769,454,041.61
  5. Step 5: Solve for x
    x = 46,769,454,041.61/295,228.77
  6. Step 6: Final answer
    x = 158,417.67

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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.