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Finding the Fourth Proportional to 224,305.10, 309,547.96 and 128,830.94

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Solution

The fourth proportional to 224,305.10, 309,547.96 and 128,830.94 is: 177,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,305.10 : 309,547.96 = 128,830.94 : x
  2. Step 2: Convert to fraction form
    224,305.10/309,547.96 = 128,830.94/x
  3. Step 3: Cross multiply
    224,305.10x = 309,547.96 × 128,830.94
  4. Step 4: Simplify right side
    224,305.10x = 39,879,354,661.88
  5. Step 5: Solve for x
    x = 39,879,354,661.88/224,305.10
  6. Step 6: Final answer
    x = 177,790.67

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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.