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Finding the Fourth Proportional to 334,738.84, 502,112.32 and 98,086.32

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Solution

The fourth proportional to 334,738.84, 502,112.32 and 98,086.32 is: 147,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,738.84 : 502,112.32 = 98,086.32 : x
  2. Step 2: Convert to fraction form
    334,738.84/502,112.32 = 98,086.32/x
  3. Step 3: Cross multiply
    334,738.84x = 502,112.32 × 98,086.32
  4. Step 4: Simplify right side
    334,738.84x = 49,250,349,695.46
  5. Step 5: Solve for x
    x = 49,250,349,695.46/334,738.84
  6. Step 6: Final answer
    x = 147,130.67

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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.