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Finding the Fourth Proportional to 208,258, 287,447.88 and 118,885.84

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Solution

The fourth proportional to 208,258, 287,447.88 and 118,885.84 is: 164,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,258 : 287,447.88 = 118,885.84 : x
  2. Step 2: Convert to fraction form
    208,258/287,447.88 = 118,885.84/x
  3. Step 3: Cross multiply
    208,258x = 287,447.88 × 118,885.84
  4. Step 4: Simplify right side
    208,258x = 34,173,482,670.02
  5. Step 5: Solve for x
    x = 34,173,482,670.02/208,258
  6. Step 6: Final answer
    x = 164,092.05

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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.