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Finding the Fourth Proportional to 146,772.95, 202,547.48 and 83,123.15

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Solution

The fourth proportional to 146,772.95, 202,547.48 and 83,123.15 is: 114,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,772.95 : 202,547.48 = 83,123.15 : x
  2. Step 2: Convert to fraction form
    146,772.95/202,547.48 = 83,123.15/x
  3. Step 3: Cross multiply
    146,772.95x = 202,547.48 × 83,123.15
  4. Step 4: Simplify right side
    146,772.95x = 16,836,383,133.81
  5. Step 5: Solve for x
    x = 16,836,383,133.81/146,772.95
  6. Step 6: Final answer
    x = 114,710.40

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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.