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Finding the Fourth Proportional to 149,866.34, 224,794.31 and 37,547.51

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Solution

The fourth proportional to 149,866.34, 224,794.31 and 37,547.51 is: 56,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,866.34 : 224,794.31 = 37,547.51 : x
  2. Step 2: Convert to fraction form
    149,866.34/224,794.31 = 37,547.51/x
  3. Step 3: Cross multiply
    149,866.34x = 224,794.31 × 37,547.51
  4. Step 4: Simplify right side
    149,866.34x = 8,440,465,290.96
  5. Step 5: Solve for x
    x = 8,440,465,290.96/149,866.34
  6. Step 6: Final answer
    x = 56,319.96

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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.