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Finding the Fourth Proportional to 255,627.84, 383,547.04 and 105,898.24

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Solution

The fourth proportional to 255,627.84, 383,547.04 and 105,898.24 is: 158,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,627.84 : 383,547.04 = 105,898.24 : x
  2. Step 2: Convert to fraction form
    255,627.84/383,547.04 = 105,898.24/x
  3. Step 3: Cross multiply
    255,627.84x = 383,547.04 × 105,898.24
  4. Step 4: Simplify right side
    255,627.84x = 40,616,956,493.21
  5. Step 5: Solve for x
    x = 40,616,956,493.21/255,627.84
  6. Step 6: Final answer
    x = 158,890.97

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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.