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Finding the Fourth Proportional to 157,641.12, 236,459.16 and 73,354.16

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Solution

The fourth proportional to 157,641.12, 236,459.16 and 73,354.16 is: 110,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,641.12 : 236,459.16 = 73,354.16 : x
  2. Step 2: Convert to fraction form
    157,641.12/236,459.16 = 73,354.16/x
  3. Step 3: Cross multiply
    157,641.12x = 236,459.16 × 73,354.16
  4. Step 4: Simplify right side
    157,641.12x = 17,345,263,056.11
  5. Step 5: Solve for x
    x = 17,345,263,056.11/157,641.12
  6. Step 6: Final answer
    x = 110,030.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.