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Finding the Fourth Proportional to 289,050.50, 433,750.72 and 122,838.50

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Solution

The fourth proportional to 289,050.50, 433,750.72 and 122,838.50 is: 184,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,050.50 : 433,750.72 = 122,838.50 : x
  2. Step 2: Convert to fraction form
    289,050.50/433,750.72 = 122,838.50/x
  3. Step 3: Cross multiply
    289,050.50x = 433,750.72 × 122,838.50
  4. Step 4: Simplify right side
    289,050.50x = 53,281,287,818.72
  5. Step 5: Solve for x
    x = 53,281,287,818.72/289,050.50
  6. Step 6: Final answer
    x = 184,332.11

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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.