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Finding the Fourth Proportional to 295,263.30, 442,808.55 and 105,701.70

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Solution

The fourth proportional to 295,263.30, 442,808.55 and 105,701.70 is: 158,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,263.30 : 442,808.55 = 105,701.70 : x
  2. Step 2: Convert to fraction form
    295,263.30/442,808.55 = 105,701.70/x
  3. Step 3: Cross multiply
    295,263.30x = 442,808.55 × 105,701.70
  4. Step 4: Simplify right side
    295,263.30x = 46,805,616,509.54
  5. Step 5: Solve for x
    x = 46,805,616,509.54/295,263.30
  6. Step 6: Final answer
    x = 158,521.62

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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.