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Finding the Fourth Proportional to 157,094.60, 235,382.70 and 78,038.60

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Solution

The fourth proportional to 157,094.60, 235,382.70 and 78,038.60 is: 116,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,094.60 : 235,382.70 = 78,038.60 : x
  2. Step 2: Convert to fraction form
    157,094.60/235,382.70 = 78,038.60/x
  3. Step 3: Cross multiply
    157,094.60x = 235,382.70 × 78,038.60
  4. Step 4: Simplify right side
    157,094.60x = 18,368,936,372.22
  5. Step 5: Solve for x
    x = 18,368,936,372.22/157,094.60
  6. Step 6: Final answer
    x = 116,929.14

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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.