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Finding the Fourth Proportional to 286,602.53, 429,907.84 and 109,119.24

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Solution

The fourth proportional to 286,602.53, 429,907.84 and 109,119.24 is: 163,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,602.53 : 429,907.84 = 109,119.24 : x
  2. Step 2: Convert to fraction form
    286,602.53/429,907.84 = 109,119.24/x
  3. Step 3: Cross multiply
    286,602.53x = 429,907.84 × 109,119.24
  4. Step 4: Simplify right side
    286,602.53x = 46,911,216,498.04
  5. Step 5: Solve for x
    x = 46,911,216,498.04/286,602.53
  6. Step 6: Final answer
    x = 163,680.40

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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.