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Finding the Fourth Proportional to 364,045.80, 546,068.70 and 97,833.23

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Solution

The fourth proportional to 364,045.80, 546,068.70 and 97,833.23 is: 146,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,045.80 : 546,068.70 = 97,833.23 : x
  2. Step 2: Convert to fraction form
    364,045.80/546,068.70 = 97,833.23/x
  3. Step 3: Cross multiply
    364,045.80x = 546,068.70 × 97,833.23
  4. Step 4: Simplify right side
    364,045.80x = 53,423,664,722.90
  5. Step 5: Solve for x
    x = 53,423,664,722.90/364,045.80
  6. Step 6: Final answer
    x = 146,749.85

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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.