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Finding the Fourth Proportional to 292,521.96, 438,783 and 105,533.40

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Solution

The fourth proportional to 292,521.96, 438,783 and 105,533.40 is: 158,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,521.96 : 438,783 = 105,533.40 : x
  2. Step 2: Convert to fraction form
    292,521.96/438,783 = 105,533.40/x
  3. Step 3: Cross multiply
    292,521.96x = 438,783 × 105,533.40
  4. Step 4: Simplify right side
    292,521.96x = 46,306,261,852.20
  5. Step 5: Solve for x
    x = 46,306,261,852.20/292,521.96
  6. Step 6: Final answer
    x = 158,300.12

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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.