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Finding the Fourth Proportional to 255,434.94, 383,169.69 and 97,680.06

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Solution

The fourth proportional to 255,434.94, 383,169.69 and 97,680.06 is: 146,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,434.94 : 383,169.69 = 97,680.06 : x
  2. Step 2: Convert to fraction form
    255,434.94/383,169.69 = 97,680.06/x
  3. Step 3: Cross multiply
    255,434.94x = 383,169.69 × 97,680.06
  4. Step 4: Simplify right side
    255,434.94x = 37,428,038,309.38
  5. Step 5: Solve for x
    x = 37,428,038,309.38/255,434.94
  6. Step 6: Final answer
    x = 146,526.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.