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Finding the Fourth Proportional to 157,215.40, 235,823.10 and 141,663.40

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Solution

The fourth proportional to 157,215.40, 235,823.10 and 141,663.40 is: 212,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215.40 : 235,823.10 = 141,663.40 : x
  2. Step 2: Convert to fraction form
    157,215.40/235,823.10 = 141,663.40/x
  3. Step 3: Cross multiply
    157,215.40x = 235,823.10 × 141,663.40
  4. Step 4: Simplify right side
    157,215.40x = 33,407,502,144.54
  5. Step 5: Solve for x
    x = 33,407,502,144.54/157,215.40
  6. Step 6: Final answer
    x = 212,495.10

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1.5x scale

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.