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Finding the Fourth Proportional to 208,124.58, 287,211.92 and 112,631.30

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Solution

The fourth proportional to 208,124.58, 287,211.92 and 112,631.30 is: 155,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124.58 : 287,211.92 = 112,631.30 : x
  2. Step 2: Convert to fraction form
    208,124.58/287,211.92 = 112,631.30/x
  3. Step 3: Cross multiply
    208,124.58x = 287,211.92 × 112,631.30
  4. Step 4: Simplify right side
    208,124.58x = 32,349,051,925.10
  5. Step 5: Solve for x
    x = 32,349,051,925.10/208,124.58
  6. Step 6: Final answer
    x = 155,431.19

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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.