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Finding the Fourth Proportional to 152,402.56, 210,313.32 and 84,419.32

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Solution

The fourth proportional to 152,402.56, 210,313.32 and 84,419.32 is: 116,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402.56 : 210,313.32 = 84,419.32 : x
  2. Step 2: Convert to fraction form
    152,402.56/210,313.32 = 84,419.32/x
  3. Step 3: Cross multiply
    152,402.56x = 210,313.32 × 84,419.32
  4. Step 4: Simplify right side
    152,402.56x = 17,754,507,461.34
  5. Step 5: Solve for x
    x = 17,754,507,461.34/152,402.56
  6. Step 6: Final answer
    x = 116,497.44

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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.