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Finding the Fourth Proportional to 208,564.58, 287,611.88 and 157,005.16

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Solution

The fourth proportional to 208,564.58, 287,611.88 and 157,005.16 is: 216,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564.58 : 287,611.88 = 157,005.16 : x
  2. Step 2: Convert to fraction form
    208,564.58/287,611.88 = 157,005.16/x
  3. Step 3: Cross multiply
    208,564.58x = 287,611.88 × 157,005.16
  4. Step 4: Simplify right side
    208,564.58x = 45,156,549,237.30
  5. Step 5: Solve for x
    x = 45,156,549,237.30/208,564.58
  6. Step 6: Final answer
    x = 216,511.11

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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.