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Finding the Fourth Proportional to 211,887.60, 292,405.68 and 116,396.16

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Solution

The fourth proportional to 211,887.60, 292,405.68 and 116,396.16 is: 160,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,887.60 : 292,405.68 = 116,396.16 : x
  2. Step 2: Convert to fraction form
    211,887.60/292,405.68 = 116,396.16/x
  3. Step 3: Cross multiply
    211,887.60x = 292,405.68 × 116,396.16
  4. Step 4: Simplify right side
    211,887.60x = 34,034,898,314.19
  5. Step 5: Solve for x
    x = 34,034,898,314.19/211,887.60
  6. Step 6: Final answer
    x = 160,627.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.