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Finding the Fourth Proportional to 153,596, 211,973.36 and 86,528

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Solution

The fourth proportional to 153,596, 211,973.36 and 86,528 is: 119,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,596 : 211,973.36 = 86,528 : x
  2. Step 2: Convert to fraction form
    153,596/211,973.36 = 86,528/x
  3. Step 3: Cross multiply
    153,596x = 211,973.36 × 86,528
  4. Step 4: Simplify right side
    153,596x = 18,341,630,894.08
  5. Step 5: Solve for x
    x = 18,341,630,894.08/153,596
  6. Step 6: Final answer
    x = 119,414.77

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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.