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Finding the Fourth Proportional to 157,095.60, 235,643.40 and 157,095.60

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Solution

The fourth proportional to 157,095.60, 235,643.40 and 157,095.60 is: 235,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095.60 : 235,643.40 = 157,095.60 : x
  2. Step 2: Convert to fraction form
    157,095.60/235,643.40 = 157,095.60/x
  3. Step 3: Cross multiply
    157,095.60x = 235,643.40 × 157,095.60
  4. Step 4: Simplify right side
    157,095.60x = 37,018,541,309.04
  5. Step 5: Solve for x
    x = 37,018,541,309.04/157,095.60
  6. Step 6: Final answer
    x = 235,643.40

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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.