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Finding the Fourth Proportional to 295,114.60, 442,088.70 and 161,756.20

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Solution

The fourth proportional to 295,114.60, 442,088.70 and 161,756.20 is: 242,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,114.60 : 442,088.70 = 161,756.20 : x
  2. Step 2: Convert to fraction form
    295,114.60/442,088.70 = 161,756.20/x
  3. Step 3: Cross multiply
    295,114.60x = 442,088.70 × 161,756.20
  4. Step 4: Simplify right side
    295,114.60x = 71,510,588,174.94
  5. Step 5: Solve for x
    x = 71,510,588,174.94/295,114.60
  6. Step 6: Final answer
    x = 242,314.64

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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.