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Finding the Fourth Proportional to 208,093.74, 287,167.32 and 112,598.34

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Solution

The fourth proportional to 208,093.74, 287,167.32 and 112,598.34 is: 155,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,093.74 : 287,167.32 = 112,598.34 : x
  2. Step 2: Convert to fraction form
    208,093.74/287,167.32 = 112,598.34/x
  3. Step 3: Cross multiply
    208,093.74x = 287,167.32 × 112,598.34
  4. Step 4: Simplify right side
    208,093.74x = 32,334,563,534.25
  5. Step 5: Solve for x
    x = 32,334,563,534.25/208,093.74
  6. Step 6: Final answer
    x = 155,384.60

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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.