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Finding the Fourth Proportional to 224,547.74, 309,868.14 and 133,856.90

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Solution

The fourth proportional to 224,547.74, 309,868.14 and 133,856.90 is: 184,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,547.74 : 309,868.14 = 133,856.90 : x
  2. Step 2: Convert to fraction form
    224,547.74/309,868.14 = 133,856.90/x
  3. Step 3: Cross multiply
    224,547.74x = 309,868.14 × 133,856.90
  4. Step 4: Simplify right side
    224,547.74x = 41,477,988,629.17
  5. Step 5: Solve for x
    x = 41,477,988,629.17/224,547.74
  6. Step 6: Final answer
    x = 184,717.91

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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.