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Finding the Fourth Proportional to 211,475.94, 317,113.47 and 122,756.64

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Solution

The fourth proportional to 211,475.94, 317,113.47 and 122,756.64 is: 184,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,475.94 : 317,113.47 = 122,756.64 : x
  2. Step 2: Convert to fraction form
    211,475.94/317,113.47 = 122,756.64/x
  3. Step 3: Cross multiply
    211,475.94x = 317,113.47 × 122,756.64
  4. Step 4: Simplify right side
    211,475.94x = 38,927,784,075.94
  5. Step 5: Solve for x
    x = 38,927,784,075.94/211,475.94
  6. Step 6: Final answer
    x = 184,076.66

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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.