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Finding the Fourth Proportional to 152,312.71, 210,184.68 and 84,324.91

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Solution

The fourth proportional to 152,312.71, 210,184.68 and 84,324.91 is: 116,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,312.71 : 210,184.68 = 84,324.91 : x
  2. Step 2: Convert to fraction form
    152,312.71/210,184.68 = 84,324.91/x
  3. Step 3: Cross multiply
    152,312.71x = 210,184.68 × 84,324.91
  4. Step 4: Simplify right side
    152,312.71x = 17,723,804,224.38
  5. Step 5: Solve for x
    x = 17,723,804,224.38/152,312.71
  6. Step 6: Final answer
    x = 116,364.58

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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.