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Finding the Fourth Proportional to 153,098, 211,276.32 and 86,030

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Solution

The fourth proportional to 153,098, 211,276.32 and 86,030 is: 118,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,098 : 211,276.32 = 86,030 : x
  2. Step 2: Convert to fraction form
    153,098/211,276.32 = 86,030/x
  3. Step 3: Cross multiply
    153,098x = 211,276.32 × 86,030
  4. Step 4: Simplify right side
    153,098x = 18,176,101,809.60
  5. Step 5: Solve for x
    x = 18,176,101,809.60/153,098
  6. Step 6: Final answer
    x = 118,722.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.