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Finding the Fourth Proportional to 286,196.32, 429,294 and 108,702.96

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Solution

The fourth proportional to 286,196.32, 429,294 and 108,702.96 is: 163,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196.32 : 429,294 = 108,702.96 : x
  2. Step 2: Convert to fraction form
    286,196.32/429,294 = 108,702.96/x
  3. Step 3: Cross multiply
    286,196.32x = 429,294 × 108,702.96
  4. Step 4: Simplify right side
    286,196.32x = 46,665,528,510.24
  5. Step 5: Solve for x
    x = 46,665,528,510.24/286,196.32
  6. Step 6: Final answer
    x = 163,054.26

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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.