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Finding the Fourth Proportional to 152,523.64, 210,495.22 and 84,561.93

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Solution

The fourth proportional to 152,523.64, 210,495.22 and 84,561.93 is: 116,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,523.64 : 210,495.22 = 84,561.93 : x
  2. Step 2: Convert to fraction form
    152,523.64/210,495.22 = 84,561.93/x
  3. Step 3: Cross multiply
    152,523.64x = 210,495.22 × 84,561.93
  4. Step 4: Simplify right side
    152,523.64x = 17,799,882,323.23
  5. Step 5: Solve for x
    x = 17,799,882,323.23/152,523.64
  6. Step 6: Final answer
    x = 116,702.45

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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.