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Finding the Fourth Proportional to 219,543.86, 302,966.59 and 124,048.51

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Solution

The fourth proportional to 219,543.86, 302,966.59 and 124,048.51 is: 171,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,543.86 : 302,966.59 = 124,048.51 : x
  2. Step 2: Convert to fraction form
    219,543.86/302,966.59 = 124,048.51/x
  3. Step 3: Cross multiply
    219,543.86x = 302,966.59 × 124,048.51
  4. Step 4: Simplify right side
    219,543.86x = 37,582,554,069.28
  5. Step 5: Solve for x
    x = 37,582,554,069.28/219,543.86
  6. Step 6: Final answer
    x = 171,184.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.