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Finding the Fourth Proportional to 152,292.72, 210,259.36 and 97,866.96

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Solution

The fourth proportional to 152,292.72, 210,259.36 and 97,866.96 is: 135,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292.72 : 210,259.36 = 97,866.96 : x
  2. Step 2: Convert to fraction form
    152,292.72/210,259.36 = 97,866.96/x
  3. Step 3: Cross multiply
    152,292.72x = 210,259.36 × 97,866.96
  4. Step 4: Simplify right side
    152,292.72x = 20,577,444,374.75
  5. Step 5: Solve for x
    x = 20,577,444,374.75/152,292.72
  6. Step 6: Final answer
    x = 135,117.72

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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.