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Finding the Fourth Proportional to 301,104.47, 451,699.67 and 98,657.28

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Solution

The fourth proportional to 301,104.47, 451,699.67 and 98,657.28 is: 148,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,104.47 : 451,699.67 = 98,657.28 : x
  2. Step 2: Convert to fraction form
    301,104.47/451,699.67 = 98,657.28/x
  3. Step 3: Cross multiply
    301,104.47x = 451,699.67 × 98,657.28
  4. Step 4: Simplify right side
    301,104.47x = 44,563,461,065.74
  5. Step 5: Solve for x
    x = 44,563,461,065.74/301,104.47
  6. Step 6: Final answer
    x = 148,000.00

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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.