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Finding the Fourth Proportional to 364,376.80, 546,503.16 and 98,077.96

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Solution

The fourth proportional to 364,376.80, 546,503.16 and 98,077.96 is: 147,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,376.80 : 546,503.16 = 98,077.96 : x
  2. Step 2: Convert to fraction form
    364,376.80/546,503.16 = 98,077.96/x
  3. Step 3: Cross multiply
    364,376.80x = 546,503.16 × 98,077.96
  4. Step 4: Simplify right side
    364,376.80x = 53,599,915,066.35
  5. Step 5: Solve for x
    x = 53,599,915,066.35/364,376.80
  6. Step 6: Final answer
    x = 147,100.24

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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.