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Finding the Fourth Proportional to 291,656.10, 437,520.60 and 114,140.16

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Solution

The fourth proportional to 291,656.10, 437,520.60 and 114,140.16 is: 171,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,656.10 : 437,520.60 = 114,140.16 : x
  2. Step 2: Convert to fraction form
    291,656.10/437,520.60 = 114,140.16/x
  3. Step 3: Cross multiply
    291,656.10x = 437,520.60 × 114,140.16
  4. Step 4: Simplify right side
    291,656.10x = 49,938,671,287.30
  5. Step 5: Solve for x
    x = 49,938,671,287.30/291,656.10
  6. Step 6: Final answer
    x = 171,224.50

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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.