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Finding the Fourth Proportional to 187,035.48, 257,938.02 and 146,205

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Solution

The fourth proportional to 187,035.48, 257,938.02 and 146,205 is: 201,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,035.48 : 257,938.02 = 146,205 : x
  2. Step 2: Convert to fraction form
    187,035.48/257,938.02 = 146,205/x
  3. Step 3: Cross multiply
    187,035.48x = 257,938.02 × 146,205
  4. Step 4: Simplify right side
    187,035.48x = 37,711,828,214.10
  5. Step 5: Solve for x
    x = 37,711,828,214.10/187,035.48
  6. Step 6: Final answer
    x = 201,629.27

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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.