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Finding the Fourth Proportional to 295,056.68, 442,476.57 and 105,465.87

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Solution

The fourth proportional to 295,056.68, 442,476.57 and 105,465.87 is: 158,160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,056.68 : 442,476.57 = 105,465.87 : x
  2. Step 2: Convert to fraction form
    295,056.68/442,476.57 = 105,465.87/x
  3. Step 3: Cross multiply
    295,056.68x = 442,476.57 × 105,465.87
  4. Step 4: Simplify right side
    295,056.68x = 46,666,178,049.63
  5. Step 5: Solve for x
    x = 46,666,178,049.63/295,056.68
  6. Step 6: Final answer
    x = 158,160.05

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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.