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Finding the Fourth Proportional to 295,302.30, 442,867.05 and 105,740.70

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Solution

The fourth proportional to 295,302.30, 442,867.05 and 105,740.70 is: 158,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,302.30 : 442,867.05 = 105,740.70 : x
  2. Step 2: Convert to fraction form
    295,302.30/442,867.05 = 105,740.70/x
  3. Step 3: Cross multiply
    295,302.30x = 442,867.05 × 105,740.70
  4. Step 4: Simplify right side
    295,302.30x = 46,829,071,873.94
  5. Step 5: Solve for x
    x = 46,829,071,873.94/295,302.30
  6. Step 6: Final answer
    x = 158,580.11

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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.