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Finding the Fourth Proportional to 145,070.82, 200,146.41 and 94,798.98

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Solution

The fourth proportional to 145,070.82, 200,146.41 and 94,798.98 is: 130,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,070.82 : 200,146.41 = 94,798.98 : x
  2. Step 2: Convert to fraction form
    145,070.82/200,146.41 = 94,798.98/x
  3. Step 3: Cross multiply
    145,070.82x = 200,146.41 × 94,798.98
  4. Step 4: Simplify right side
    145,070.82x = 18,973,675,518.66
  5. Step 5: Solve for x
    x = 18,973,675,518.66/145,070.82
  6. Step 6: Final answer
    x = 130,789.06

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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.