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Finding the Fourth Proportional to 142,703.40, 214,055.10 and 87,407.40

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Solution

The fourth proportional to 142,703.40, 214,055.10 and 87,407.40 is: 131,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,703.40 : 214,055.10 = 87,407.40 : x
  2. Step 2: Convert to fraction form
    142,703.40/214,055.10 = 87,407.40/x
  3. Step 3: Cross multiply
    142,703.40x = 214,055.10 × 87,407.40
  4. Step 4: Simplify right side
    142,703.40x = 18,709,999,747.74
  5. Step 5: Solve for x
    x = 18,709,999,747.74/142,703.40
  6. Step 6: Final answer
    x = 131,111.10

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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.