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Finding the Fourth Proportional to 147,472.98, 203,530.02 and 83,820.36

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Solution

The fourth proportional to 147,472.98, 203,530.02 and 83,820.36 is: 115,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,472.98 : 203,530.02 = 83,820.36 : x
  2. Step 2: Convert to fraction form
    147,472.98/203,530.02 = 83,820.36/x
  3. Step 3: Cross multiply
    147,472.98x = 203,530.02 × 83,820.36
  4. Step 4: Simplify right side
    147,472.98x = 17,059,959,547.21
  5. Step 5: Solve for x
    x = 17,059,959,547.21/147,472.98
  6. Step 6: Final answer
    x = 115,681.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.