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Finding the Fourth Proportional to 186,098, 256,705.80 and 110,642

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Solution

The fourth proportional to 186,098, 256,705.80 and 110,642 is: 152,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,098 : 256,705.80 = 110,642 : x
  2. Step 2: Convert to fraction form
    186,098/256,705.80 = 110,642/x
  3. Step 3: Cross multiply
    186,098x = 256,705.80 × 110,642
  4. Step 4: Simplify right side
    186,098x = 28,402,443,123.60
  5. Step 5: Solve for x
    x = 28,402,443,123.60/186,098
  6. Step 6: Final answer
    x = 152,620.89

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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.