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Finding the Fourth Proportional to 286,011.24, 429,041.76 and 93,828.02

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Solution

The fourth proportional to 286,011.24, 429,041.76 and 93,828.02 is: 140,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,011.24 : 429,041.76 = 93,828.02 : x
  2. Step 2: Convert to fraction form
    286,011.24/429,041.76 = 93,828.02/x
  3. Step 3: Cross multiply
    286,011.24x = 429,041.76 × 93,828.02
  4. Step 4: Simplify right side
    286,011.24x = 40,256,138,368.98
  5. Step 5: Solve for x
    x = 40,256,138,368.98/286,011.24
  6. Step 6: Final answer
    x = 140,750.20

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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.