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Finding the Fourth Proportional to 219,598.64, 302,924.40 and 127,707.86

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Solution

The fourth proportional to 219,598.64, 302,924.40 and 127,707.86 is: 176,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,598.64 : 302,924.40 = 127,707.86 : x
  2. Step 2: Convert to fraction form
    219,598.64/302,924.40 = 127,707.86/x
  3. Step 3: Cross multiply
    219,598.64x = 302,924.40 × 127,707.86
  4. Step 4: Simplify right side
    219,598.64x = 38,685,828,102.00
  5. Step 5: Solve for x
    x = 38,685,828,102.00/219,598.64
  6. Step 6: Final answer
    x = 176,166.07

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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.