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Finding the Fourth Proportional to 401,701.58, 602,555.83 and 102,182.45

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Solution

The fourth proportional to 401,701.58, 602,555.83 and 102,182.45 is: 153,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,701.58 : 602,555.83 = 102,182.45 : x
  2. Step 2: Convert to fraction form
    401,701.58/602,555.83 = 102,182.45/x
  3. Step 3: Cross multiply
    401,701.58x = 602,555.83 × 102,182.45
  4. Step 4: Simplify right side
    401,701.58x = 61,570,630,783.83
  5. Step 5: Solve for x
    x = 61,570,630,783.83/401,701.58
  6. Step 6: Final answer
    x = 153,274.55

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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.