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Finding the Fourth Proportional to 255,705.84, 383,562.02 and 97,943.76

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Solution

The fourth proportional to 255,705.84, 383,562.02 and 97,943.76 is: 146,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,705.84 : 383,562.02 = 97,943.76 : x
  2. Step 2: Convert to fraction form
    255,705.84/383,562.02 = 97,943.76/x
  3. Step 3: Cross multiply
    255,705.84x = 383,562.02 × 97,943.76
  4. Step 4: Simplify right side
    255,705.84x = 37,567,506,432.00
  5. Step 5: Solve for x
    x = 37,567,506,432.00/255,705.84
  6. Step 6: Final answer
    x = 146,916.89

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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.