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Finding the Fourth Proportional to 188,051.70, 282,090.35 and 54,931.70

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Solution

The fourth proportional to 188,051.70, 282,090.35 and 54,931.70 is: 82,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,051.70 : 282,090.35 = 54,931.70 : x
  2. Step 2: Convert to fraction form
    188,051.70/282,090.35 = 54,931.70/x
  3. Step 3: Cross multiply
    188,051.70x = 282,090.35 × 54,931.70
  4. Step 4: Simplify right side
    188,051.70x = 15,495,702,479.10
  5. Step 5: Solve for x
    x = 15,495,702,479.10/188,051.70
  6. Step 6: Final answer
    x = 82,401.29

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1.5x scale

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.