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Finding the Fourth Proportional to 210,746.26, 316,119.03 and 98,388.82

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Solution

The fourth proportional to 210,746.26, 316,119.03 and 98,388.82 is: 147,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,746.26 : 316,119.03 = 98,388.82 : x
  2. Step 2: Convert to fraction form
    210,746.26/316,119.03 = 98,388.82/x
  3. Step 3: Cross multiply
    210,746.26x = 316,119.03 × 98,388.82
  4. Step 4: Simplify right side
    210,746.26x = 31,102,578,341.24
  5. Step 5: Solve for x
    x = 31,102,578,341.24/210,746.26
  6. Step 6: Final answer
    x = 147,583.06

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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.