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Finding the Fourth Proportional to 286,065.64, 429,237.84 and 117,636.58

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Solution

The fourth proportional to 286,065.64, 429,237.84 and 117,636.58 is: 176,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.64 : 429,237.84 = 117,636.58 : x
  2. Step 2: Convert to fraction form
    286,065.64/429,237.84 = 117,636.58/x
  3. Step 3: Cross multiply
    286,065.64x = 429,237.84 × 117,636.58
  4. Step 4: Simplify right side
    286,065.64x = 50,494,071,504.19
  5. Step 5: Solve for x
    x = 50,494,071,504.19/286,065.64
  6. Step 6: Final answer
    x = 176,512.19

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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.