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Finding the Fourth Proportional to 210,802.14, 316,249.38 and 61,048.53

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Solution

The fourth proportional to 210,802.14, 316,249.38 and 61,048.53 is: 91,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,802.14 : 316,249.38 = 61,048.53 : x
  2. Step 2: Convert to fraction form
    210,802.14/316,249.38 = 61,048.53/x
  3. Step 3: Cross multiply
    210,802.14x = 316,249.38 × 61,048.53
  4. Step 4: Simplify right side
    210,802.14x = 19,306,559,762.41
  5. Step 5: Solve for x
    x = 19,306,559,762.41/210,802.14
  6. Step 6: Final answer
    x = 91,586.17

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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.