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Finding the Fourth Proportional to 307,492.98, 461,194.86 and 118,001.06

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Solution

The fourth proportional to 307,492.98, 461,194.86 and 118,001.06 is: 176,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,492.98 : 461,194.86 = 118,001.06 : x
  2. Step 2: Convert to fraction form
    307,492.98/461,194.86 = 118,001.06/x
  3. Step 3: Cross multiply
    307,492.98x = 461,194.86 × 118,001.06
  4. Step 4: Simplify right side
    307,492.98x = 54,421,482,346.55
  5. Step 5: Solve for x
    x = 54,421,482,346.55/307,492.98
  6. Step 6: Final answer
    x = 176,984.47

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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.