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Finding the Fourth Proportional to 187,008.48, 257,900.76 and 146,178

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Solution

The fourth proportional to 187,008.48, 257,900.76 and 146,178 is: 201,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,008.48 : 257,900.76 = 146,178 : x
  2. Step 2: Convert to fraction form
    187,008.48/257,900.76 = 146,178/x
  3. Step 3: Cross multiply
    187,008.48x = 257,900.76 × 146,178
  4. Step 4: Simplify right side
    187,008.48x = 37,699,417,295.28
  5. Step 5: Solve for x
    x = 37,699,417,295.28/187,008.48
  6. Step 6: Final answer
    x = 201,592.02

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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.