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Finding the Fourth Proportional to 219,345.06, 302,697.14 and 118,743.06

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Solution

The fourth proportional to 219,345.06, 302,697.14 and 118,743.06 is: 163,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,345.06 : 302,697.14 = 118,743.06 : x
  2. Step 2: Convert to fraction form
    219,345.06/302,697.14 = 118,743.06/x
  3. Step 3: Cross multiply
    219,345.06x = 302,697.14 × 118,743.06
  4. Step 4: Simplify right side
    219,345.06x = 35,943,184,656.85
  5. Step 5: Solve for x
    x = 35,943,184,656.85/219,345.06
  6. Step 6: Final answer
    x = 163,865.94

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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.