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Finding the Fourth Proportional to 180,424, 270,637.12 and 47,303.06

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Solution

The fourth proportional to 180,424, 270,637.12 and 47,303.06 is: 70,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,424 : 270,637.12 = 47,303.06 : x
  2. Step 2: Convert to fraction form
    180,424/270,637.12 = 47,303.06/x
  3. Step 3: Cross multiply
    180,424x = 270,637.12 × 47,303.06
  4. Step 4: Simplify right side
    180,424x = 12,801,963,925.59
  5. Step 5: Solve for x
    x = 12,801,963,925.59/180,424
  6. Step 6: Final answer
    x = 70,954.88

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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.