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Finding the Fourth Proportional to 152,437.98, 210,370.71 and 85,370.46

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Solution

The fourth proportional to 152,437.98, 210,370.71 and 85,370.46 is: 117,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,437.98 : 210,370.71 = 85,370.46 : x
  2. Step 2: Convert to fraction form
    152,437.98/210,370.71 = 85,370.46/x
  3. Step 3: Cross multiply
    152,437.98x = 210,370.71 × 85,370.46
  4. Step 4: Simplify right side
    152,437.98x = 17,959,444,283.23
  5. Step 5: Solve for x
    x = 17,959,444,283.23/152,437.98
  6. Step 6: Final answer
    x = 117,814.76

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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.