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Finding the Fourth Proportional to 186,383, 257,232.84 and 110,931.50

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Solution

The fourth proportional to 186,383, 257,232.84 and 110,931.50 is: 153,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,383 : 257,232.84 = 110,931.50 : x
  2. Step 2: Convert to fraction form
    186,383/257,232.84 = 110,931.50/x
  3. Step 3: Cross multiply
    186,383x = 257,232.84 × 110,931.50
  4. Step 4: Simplify right side
    186,383x = 28,535,224,790.46
  5. Step 5: Solve for x
    x = 28,535,224,790.46/186,383
  6. Step 6: Final answer
    x = 153,099.93

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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.