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Finding the Fourth Proportional to 186,153, 256,871.70 and 105,554.76

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Solution

The fourth proportional to 186,153, 256,871.70 and 105,554.76 is: 145,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,153 : 256,871.70 = 105,554.76 : x
  2. Step 2: Convert to fraction form
    186,153/256,871.70 = 105,554.76/x
  3. Step 3: Cross multiply
    186,153x = 256,871.70 × 105,554.76
  4. Step 4: Simplify right side
    186,153x = 27,114,030,644.29
  5. Step 5: Solve for x
    x = 27,114,030,644.29/186,153
  6. Step 6: Final answer
    x = 145,654.55

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1.5x scale

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.