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Finding the Fourth Proportional to 186,602.52, 257,501.79 and 106,018.86

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Solution

The fourth proportional to 186,602.52, 257,501.79 and 106,018.86 is: 146,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,602.52 : 257,501.79 = 106,018.86 : x
  2. Step 2: Convert to fraction form
    186,602.52/257,501.79 = 106,018.86/x
  3. Step 3: Cross multiply
    186,602.52x = 257,501.79 × 106,018.86
  4. Step 4: Simplify right side
    186,602.52x = 27,300,046,223.76
  5. Step 5: Solve for x
    x = 27,300,046,223.76/186,602.52
  6. Step 6: Final answer
    x = 146,300.52

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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.