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Finding the Fourth Proportional to 208,714.04, 287,808.88 and 178,599.04

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Solution

The fourth proportional to 208,714.04, 287,808.88 and 178,599.04 is: 246,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714.04 : 287,808.88 = 178,599.04 : x
  2. Step 2: Convert to fraction form
    208,714.04/287,808.88 = 178,599.04/x
  3. Step 3: Cross multiply
    208,714.04x = 287,808.88 × 178,599.04
  4. Step 4: Simplify right side
    208,714.04x = 51,402,389,671.48
  5. Step 5: Solve for x
    x = 51,402,389,671.48/208,714.04
  6. Step 6: Final answer
    x = 246,281.42

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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.