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Finding the Fourth Proportional to 186,856.32, 257,867.72 and 106,281.77

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Solution

The fourth proportional to 186,856.32, 257,867.72 and 106,281.77 is: 146,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,856.32 : 257,867.72 = 106,281.77 : x
  2. Step 2: Convert to fraction form
    186,856.32/257,867.72 = 106,281.77/x
  3. Step 3: Cross multiply
    186,856.32x = 257,867.72 × 106,281.77
  4. Step 4: Simplify right side
    186,856.32x = 27,406,637,707.46
  5. Step 5: Solve for x
    x = 27,406,637,707.46/186,856.32
  6. Step 6: Final answer
    x = 146,672.25

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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.