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Finding the Fourth Proportional to 217,191.86, 299,547.05 and 152,874.01

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Solution

The fourth proportional to 217,191.86, 299,547.05 and 152,874.01 is: 210,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,191.86 : 299,547.05 = 152,874.01 : x
  2. Step 2: Convert to fraction form
    217,191.86/299,547.05 = 152,874.01/x
  3. Step 3: Cross multiply
    217,191.86x = 299,547.05 × 152,874.01
  4. Step 4: Simplify right side
    217,191.86x = 45,792,959,099.36
  5. Step 5: Solve for x
    x = 45,792,959,099.36/217,191.86
  6. Step 6: Final answer
    x = 210,841.05

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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.